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3685392 = 243319449
BaseRepresentation
bin1110000011110000010000
320221020102000
432003300100
51420413032
6210554000
743216404
oct16036020
96836360
103685392
112097987
121298900
139c0609
146bd104
154cbe7c
hex383c10

3685392 has 80 divisors (see below), whose sum is σ = 11160000. Its totient is φ = 1161216.

The previous prime is 3685387. The next prime is 3685403. The reversal of 3685392 is 2935863.

3685392 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36853922 = 27164228387328, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 312 + 63 + 87 + 53 + 312 + 93 + 219 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7984 + ... + 8432.

It is an arithmetic number, because the mean of its divisors is an integer number (139500).

Almost surely, 23685392 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 3685392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580000).

3685392 is an abundant number, since it is smaller than the sum of its proper divisors (7474608).

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

3685392 is a wasteful number, since it uses less digits than its factorization.

3685392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3685392 is about 1919.7374820532. The cubic root of 3685392 is about 154.4642201998.

The spelling of 3685392 in words is "three million, six hundred eighty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 449 456 513 684 898 912 1026 1347 1368 1796 2052 2694 2736 3592 4041 4104 5388 7184 8082 8208 8531 10776 12123 16164 17062 21552 24246 25593 32328 34124 48492 51186 64656 68248 76779 96984 102372 136496 153558 193968 204744 230337 307116 409488 460674 614232 921348 1228464 1842696 3685392