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3705696 = 25334289
BaseRepresentation
bin1110001000101101100000
320222021021000
432020231200
51422040241
6211232000
743332531
oct16105540
96867230
103705696
112101165
1212a8600
139c9927
146c6688
154d2eb6
hex388b60

3705696 has 48 divisors (see below), whose sum is σ = 10810800. Its totient is φ = 1234944.

The previous prime is 3705679. The next prime is 3705719. The reversal of 3705696 is 6965073.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3705696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281 + ... + 3008.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 23705696 is an apocalyptic number.

3705696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3705696 is an abundant number, since it is smaller than the sum of its proper divisors (7105104).

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

3705696 is a wasteful number, since it uses less digits than its factorization.

3705696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3705696 is about 1925.0184414701. The cubic root of 3705696 is about 154.7473650749.

The spelling of 3705696 in words is "three million, seven hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4289 8578 12867 17156 25734 34312 38601 51468 68624 77202 102936 115803 137248 154404 205872 231606 308808 411744 463212 617616 926424 1235232 1852848 3705696