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3474701856 = 253233735801
BaseRepresentation
bin1100111100011011…
…1011111000100000
322222011021010212100
43033012323320200
524104010424411
61332442530400
7152051323053
oct31706737040
98864233770
103474701856
111523418a2a
1280b806a00
13434b4c802
1424d694a9a
151550b1456
hexcf1bbe20

3474701856 has 72 divisors (see below), whose sum is σ = 9910781244. Its totient is φ = 1154764800.

The previous prime is 3474701837. The next prime is 3474701897. The reversal of 3474701856 is 6581074743.

It can be written as a sum of positive squares in 2 ways, for example, as 3190442256 + 284259600 = 56484^2 + 16860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79156 + ... + 114956.

Almost surely, 23474701856 is an apocalyptic number.

3474701856 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 3474701856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955390622).

3474701856 is an abundant number, since it is smaller than the sum of its proper divisors (6436079388).

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

3474701856 is a wasteful number, since it uses less digits than its factorization.

3474701856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36154 (or 36143 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3474701856 is about 58946.6017341119. The cubic root of 3474701856 is about 1514.6275384090.

The spelling of 3474701856 in words is "three billion, four hundred seventy-four million, seven hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 337 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 10784 12132 16176 24264 32352 35801 48528 71602 97056 107403 143204 214806 286408 322209 429612 572816 644418 859224 1145632 1288836 1718448 2577672 3436896 5155344 10310688 12064937 24129874 36194811 48259748 72389622 96519496 108584433 144779244 193038992 217168866 289558488 386077984 434337732 579116976 868675464 1158233952 1737350928 3474701856