Search a number
-
+
3134451320 = 2357111378283
BaseRepresentation
bin1011101011010011…
…1110111001111000
322002110000121212122
42322310332321320
522404404420240
61235010100412
7140450253020
oct27264767170
98073017778
103134451320
111369352740
1273587a708
133ac4cb130
1421a404a80
151352a14b5
hexbad3ee78

3134451320 has 128 divisors (see below), whose sum is σ = 9469232640. Its totient is φ = 901808640.

The previous prime is 3134451317. The next prime is 3134451349. The reversal of 3134451320 is 231544313.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3134451320.

It is a congruent number.

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, 899 + ... + 79181.

It is an arithmetic number, because the mean of its divisors is an integer number (73978380).

Almost surely, 23134451320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734616320).

3134451320 is an abundant number, since it is smaller than the sum of its proper divisors (6334781320).

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

3134451320 is a wasteful number, since it uses less digits than its factorization.

3134451320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78325 (or 78321 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 3134451320 is about 55986.1707924377. The cubic root of 3134451320 is about 1463.4812964794.

Adding to 3134451320 its reverse (231544313), we get a palindrome (3365995633).

It can be divided in two parts, 3134 and 451320, that added together give a palindrome (454454).

The spelling of 3134451320 in words is "three billion, one hundred thirty-four million, four hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 78283 156566 313132 391415 547981 626264 782830 861113 1017679 1095962 1565660 1722226 2035358 2191924 2739905 3131320 3444452 4070716 4305565 4383848 5088395 5479810 6027791 6888904 7123753 8141432 8611130 10176790 10959620 11194469 12055582 14247506 17222260 20353580 21919240 22388938 24111164 28495012 30138955 34444520 35618765 40707160 44777876 48222328 55972345 56990024 60277910 71237530 78361283 89555752 111944690 120555820 142475060 156722566 223889380 241111640 284950120 313445132 391806415 447778760 626890264 783612830 1567225660 3134451320