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3403020816 = 2433131374423
BaseRepresentation
bin1100101011010101…
…1111101000010000
322210011101100222000
43022311133220100
523432133131231
61321402314000
7150221125326
oct31265375020
98704340860
103403020816
111496a099a8
127ab7b8900
13423042ab0
14243d55d16
1514db526e6
hexcad5fa10

3403020816 has 160 divisors (see below), whose sum is σ = 10598488320. Its totient is φ = 1039205376.

The previous prime is 3403020799. The next prime is 3403020889. The reversal of 3403020816 is 6180203043.

It is a happy number.

3403020816 is a `hidden beast` number, since 340 + 302 + 0 + 8 + 16 = 666.

3403020816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3403020816.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767181 + ... + 771603.

It is an arithmetic number, because the mean of its divisors is an integer number (66240552).

Almost surely, 23403020816 is an apocalyptic number.

3403020816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403020816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299244160).

3403020816 is an abundant number, since it is smaller than the sum of its proper divisors (7195467504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3403020816 is a wasteful number, since it uses less digits than its factorization.

3403020816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3403020816 is about 58335.4164808995. The cubic root of 3403020816 is about 1504.1397962141.

Adding to 3403020816 its reverse (6180203043), we get a palindrome (9583223859).

The spelling of 3403020816 in words is "three billion, four hundred three million, twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 137 144 156 208 216 234 274 312 351 411 432 468 548 624 702 822 936 1096 1233 1404 1644 1781 1872 2192 2466 2808 3288 3562 3699 4423 4932 5343 5616 6576 7124 7398 8846 9864 10686 13269 14248 14796 16029 17692 19728 21372 26538 28496 29592 32058 35384 39807 42744 48087 53076 57499 59184 64116 70768 79614 85488 96174 106152 114998 119421 128232 159228 172497 192348 212304 229996 238842 256464 318456 344994 384696 459992 477684 517491 605951 636912 689988 769392 919984 955368 1034982 1211902 1379976 1552473 1817853 1910736 2069964 2423804 2759952 3104946 3635706 4139928 4847608 5453559 6209892 7271412 7877363 8279856 9695216 10907118 12419784 14542824 15754726 16360677 21814236 23632089 24839568 29085648 31509452 32721354 43628472 47264178 63018904 65442708 70896267 87256944 94528356 126037808 130885416 141792534 189056712 212688801 261770832 283585068 378113424 425377602 567170136 850755204 1134340272 1701510408 3403020816