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3317942272 = 2117322193
BaseRepresentation
bin1100010111000011…
…1100100000000000
322120020021221010211
43011300330200000
523243343123042
61305123003504
7145136021041
oct30560744000
98506257124
103317942272
11145298a157
12787209594
1340b524c68
1423692a8c8
15146449017
hexc5c3c800

3317942272 has 48 divisors (see below), whose sum is σ = 6725447820. Its totient is φ = 1636171776.

The previous prime is 3317942269. The next prime is 3317942291. The reversal of 3317942272 is 2722497133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3004793856 + 313148416 = 54816^2 + 17696^2 .

It is a super-2 number, since 2×33179422722 = 22017481840649043968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138408 + ... + 160600.

Almost surely, 23317942272 is an apocalyptic number.

3317942272 is a gapful number since it is divisible by the number (32) 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 3317942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362723910).

3317942272 is an abundant number, since it is smaller than the sum of its proper divisors (3407505548).

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

3317942272 is an equidigital number, since it uses as much as digits as its factorization.

3317942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22288 (or 22268 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 3317942272 is about 57601.5822004917. The cubic root of 3317942272 is about 1491.4989153150.

The spelling of 3317942272 in words is "three billion, three hundred seventeen million, nine hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1024 1168 2048 2336 4672 9344 18688 22193 37376 44386 74752 88772 149504 177544 355088 710176 1420352 1620089 2840704 3240178 5681408 6480356 11362816 12960712 22725632 25921424 45451264 51842848 103685696 207371392 414742784 829485568 1658971136 3317942272