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3680704 = 26172199
BaseRepresentation
bin1110000010100111000000
320220222222101
432002213000
51420240304
6210520144
743166626
oct16024700
96828871
103680704
112094405
121296054
139bb441
146bb516
154ca8a4
hex3829c0

3680704 has 42 divisors (see below), whose sum is σ = 7797800. Its totient is φ = 1723392.

The previous prime is 3680681. The next prime is 3680741. The reversal of 3680704 is 4070863.

3680704 = 1022 + 1032 + ... + 2292.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18397 + ... + 18595.

Almost surely, 23680704 is an apocalyptic number.

3680704 is a gapful number since it is divisible by the number (34) 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 3680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898900).

3680704 is an abundant number, since it is smaller than the sum of its proper divisors (4117096).

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

3680704 is a wasteful number, since it uses less digits than its factorization.

3680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3680704 is about 1918.5160932346. The cubic root of 3680704 is about 154.3986970457.

The spelling of 3680704 in words is "three million, six hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 199 272 289 398 544 578 796 1088 1156 1592 2312 3184 3383 4624 6368 6766 9248 12736 13532 18496 27064 54128 57511 108256 115022 216512 230044 460088 920176 1840352 3680704