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3411120340 = 2252331435563
BaseRepresentation
bin1100101101010001…
…1001000011010100
322210201121212102101
43023110121003110
523441221322330
61322252051444
7150350021155
oct31324310324
98721555371
103411120340
1114a0541221
127b2463b84
1342491a604
1424506392c
1514e7024ca
hexcb5190d4

3411120340 has 96 divisors (see below), whose sum is σ = 7896784896. Its totient is φ = 1233429120.

The previous prime is 3411120313. The next prime is 3411120347. The reversal of 3411120340 is 430211143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411120347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610399 + ... + 615961.

It is an arithmetic number, because the mean of its divisors is an integer number (82258176).

Almost surely, 23411120340 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 3411120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948392448).

3411120340 is an abundant number, since it is smaller than the sum of its proper divisors (4485664556).

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

3411120340 is a wasteful number, since it uses less digits than its factorization.

3411120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3411120340 is about 58404.7972344738. The cubic root of 3411120340 is about 1505.3321842289.

Adding to 3411120340 its reverse (430211143), we get a palindrome (3841331483).

The spelling of 3411120340 in words is "three billion, four hundred eleven million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 31 43 46 62 86 92 115 124 155 172 215 230 310 430 460 620 713 860 989 1333 1426 1978 2666 2852 3565 3956 4945 5332 5563 6665 7130 9890 11126 13330 14260 19780 22252 26660 27815 30659 55630 61318 111260 122636 127949 153295 172453 239209 255898 306590 344906 478418 511796 613180 639745 689812 862265 956836 1196045 1279490 1724530 2392090 2558980 3449060 3966419 4784180 5501807 7415479 7932838 11003614 14830958 15865676 19832095 22007228 27509035 29661916 37077395 39664190 55018070 74154790 79328380 110036140 148309580 170556017 341112034 682224068 852780085 1705560170 3411120340