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3454801956 = 223515722639
BaseRepresentation
bin1100110111101100…
…0001100000100100
322220202211010100000
43031323001200210
524033412130311
61330452221300
7151420221624
oct31573014044
98822733300
103454801956
111513166931
1280500a830
134309a2b18
1424ab94884
15153480056
hexcdec1824

3454801956 has 72 divisors (see below), whose sum is σ = 9114501760. Its totient is φ = 1144215072.

The previous prime is 3454801951. The next prime is 3454801967. The reversal of 3454801956 is 6591084543.

3454801956 is a `hidden beast` number, since 3 + 454 + 8 + 0 + 195 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3454801951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141285 + ... + 163923.

Almost surely, 23454801956 is an apocalyptic number.

3454801956 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 3454801956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557250880).

3454801956 is an abundant number, since it is smaller than the sum of its proper divisors (5659699804).

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

3454801956 is a wasteful number, since it uses less digits than its factorization.

3454801956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22815 (or 22801 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3454801956 is about 58777.5633724298. The cubic root of 3454801956 is about 1511.7305358800.

The spelling of 3454801956 in words is "three billion, four hundred fifty-four million, eight hundred one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 243 314 324 471 486 628 942 972 1413 1884 2826 4239 5652 8478 12717 16956 22639 25434 38151 45278 50868 67917 76302 90556 135834 152604 203751 271668 407502 611253 815004 1222506 1833759 2445012 3554323 3667518 5501277 7108646 7335036 10662969 11002554 14217292 21325938 22005108 31988907 42651876 63977814 95966721 127955628 191933442 287900163 383866884 575800326 863700489 1151600652 1727400978 3454801956