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3680400804 = 223378289191
BaseRepresentation
bin1101101101011110…
…0111010110100100
3100111111022201202220
43123113213112210
530014140311204
61405111432340
7160126614333
oct33327472644
910444281686
103680400804
111619543663
128686856b0
13468650a72
1426cb1bd1a
151681941d9
hexdb5e75a4

3680400804 has 24 divisors (see below), whose sum is σ = 8819700288. Its totient is φ = 1193643360.

The previous prime is 3680400781. The next prime is 3680400851. The reversal of 3680400804 is 4080040863.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4144152 + ... + 4145039.

It is an arithmetic number, because the mean of its divisors is an integer number (367487512).

Almost surely, 23680400804 is an apocalyptic number.

It is an amenable number.

3680400804 is an abundant number, since it is smaller than the sum of its proper divisors (5139299484).

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

3680400804 is a wasteful number, since it uses less digits than its factorization.

3680400804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289235 (or 8289233 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3680400804 is about 60666.3069916078. The cubic root of 3680400804 is about 1543.9445742630.

The spelling of 3680400804 in words is "three billion, six hundred eighty million, four hundred thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 8289191 16578382 24867573 33156764 49735146 99470292 306700067 613400134 920100201 1226800268 1840200402 3680400804