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3696704 = 26115989
BaseRepresentation
bin1110000110100001000000
320221210220222
432012201000
51421243304
6211122212
743264364
oct16064100
96853828
103696704
1120a5430
1212a3368
139c57cb
146c32a4
154d04be
hex386840

3696704 has 56 divisors (see below), whose sum is σ = 8229600. Its totient is φ = 1633280.

The previous prime is 3696703. The next prime is 3696713. The reversal of 3696704 is 4076963.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3696703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41492 + ... + 41580.

Almost surely, 23696704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3696704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114800).

3696704 is an abundant number, since it is smaller than the sum of its proper divisors (4532896).

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

3696704 is a wasteful number, since it uses less digits than its factorization.

3696704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 3696704 is about 1922.6814608770. The cubic root of 3696704 is about 154.6220970799.

The spelling of 3696704 in words is "three million, six hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 89 118 176 178 236 352 356 472 649 704 712 944 979 1298 1424 1888 1958 2596 2848 3776 3916 5192 5251 5696 7832 10384 10502 15664 20768 21004 31328 41536 42008 57761 62656 84016 115522 168032 231044 336064 462088 924176 1848352 3696704