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3680607276 = 2237420737
BaseRepresentation
bin1101101101100001…
…1001110000101100
3100111111201020000000
43123120121300230
530014213413101
61405120104300
7160131434313
oct33330316054
910444636000
103680607276
1116196747a5
12868765090
134686c3a38
1426cb7327a
151681d5486
hexdb619c2c

3680607276 has 48 divisors (see below), whose sum is σ = 9660144480. Its totient is φ = 1226866176.

The previous prime is 3680607263. The next prime is 3680607299. The reversal of 3680607276 is 6727060863.

3680607276 is a `hidden beast` number, since 36 + 8 + 0 + 607 + 2 + 7 + 6 = 666.

3680607276 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201621 + ... + 219116.

It is an arithmetic number, because the mean of its divisors is an integer number (201253010).

Almost surely, 23680607276 is an apocalyptic number.

3680607276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3680607276 is an abundant number, since it is smaller than the sum of its proper divisors (5979537204).

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

3680607276 is an equidigital number, since it uses as much as digits as its factorization.

3680607276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420762 (or 420742 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3680607276 is about 60668.0086701385. The cubic root of 3680607276 is about 1543.9734456985.

The spelling of 3680607276 in words is "three billion, six hundred eighty million, six hundred seven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 420737 841474 1262211 1682948 2524422 3786633 5048844 7573266 11359899 15146532 22719798 34079697 45439596 68159394 102239091 136318788 204478182 306717273 408956364 613434546 920151819 1226869092 1840303638 3680607276