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3351401568 = 25353113903
BaseRepresentation
bin1100011111000010…
…0101010001100000
322122120020211200000
43013300211101200
523330424322233
61312320100000
7146023305024
oct30760452140
98576224600
103351401568
11146a862669
12796464600
1341543b668
1423b15a384
15149357d13
hexc7c25460

3351401568 has 144 divisors (see below), whose sum is σ = 10203088896. Its totient is φ = 1081019520.

The previous prime is 3351401563. The next prime is 3351401587. The reversal of 3351401568 is 8651041533.

3351401568 is a `hidden beast` number, since 3 + 3 + 51 + 40 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33514015682 = 22463784939985717248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3351401563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234105 + ... + 248007.

It is an arithmetic number, because the mean of its divisors is an integer number (70854784).

Almost surely, 23351401568 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 3351401568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101544448).

3351401568 is an abundant number, since it is smaller than the sum of its proper divisors (6851687328).

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

3351401568 is a wasteful number, since it uses less digits than its factorization.

3351401568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13959 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3351401568 is about 57891.2909512303. The cubic root of 3351401568 is about 1496.4957558905.

The spelling of 3351401568 in words is "three billion, three hundred fifty-one million, four hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 972 992 1116 1296 1488 1674 1944 2232 2511 2592 2976 3348 3888 4464 5022 6696 7533 7776 8928 10044 13392 13903 15066 20088 26784 27806 30132 40176 41709 55612 60264 80352 83418 111224 120528 125127 166836 222448 241056 250254 333672 375381 430993 444896 500508 667344 750762 861986 1001016 1126143 1292979 1334688 1501524 1723972 2002032 2252286 2585958 3003048 3378429 3447944 3878937 4004064 4504572 5171916 6006096 6756858 6895888 7757874 9009144 10343832 11636811 12012192 13513716 13791776 15515748 18018288 20687664 23273622 27027432 31031496 34910433 36036576 41375328 46547244 54054864 62062992 69820866 93094488 104731299 108109728 124125984 139641732 186188976 209462598 279283464 372377952 418925196 558566928 837850392 1117133856 1675700784 3351401568