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3683640 = 233530697
BaseRepresentation
bin1110000011010100111000
320221011000010
432003110320
51420334030
6210541520
743211322
oct16032470
96834003
103683640
112096634
1212978a0
139bc88c
146bc612
154cb6b0
hex383538

3683640 has 32 divisors (see below), whose sum is σ = 11051280. Its totient is φ = 982272.

The previous prime is 3683627. The next prime is 3683651. The reversal of 3683640 is 463863.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3683598 and 3683607.

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, 15229 + ... + 15468.

Almost surely, 23683640 is an apocalyptic number.

3683640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3683640 is an abundant number, since it is smaller than the sum of its proper divisors (7367640).

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

3683640 is a wasteful number, since it uses less digits than its factorization.

3683640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30711 (or 30707 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3683640 is about 1919.2811154180. The cubic root of 3683640 is about 154.4397393840.

The spelling of 3683640 in words is "three million, six hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 30697 61394 92091 122788 153485 184182 245576 306970 368364 460455 613940 736728 920910 1227880 1841820 3683640