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20347392 = 293131019
BaseRepresentation
bin100110110011…
…1101000000000
31102021202101010
41031213220000
520202104032
62004040520
7334643562
oct115475000
942252333
1020347392
111053832a
126993140
1342a55a0
1429b9332
151bbdccc
hex1367a00

20347392 has 80 divisors (see below), whose sum is σ = 58433760. Its totient is φ = 6254592.

The previous prime is 20347361. The next prime is 20347409. The reversal of 20347392 is 29374302.

It is a super-2 number, since 2×203473922 = 828032722403328, which contains 22 as substring.

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, 19459 + ... + 20477.

It is an arithmetic number, because the mean of its divisors is an integer number (730422).

Almost surely, 220347392 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 20347392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29216880).

20347392 is an abundant number, since it is smaller than the sum of its proper divisors (38086368).

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

20347392 is a wasteful number, since it uses less digits than its factorization.

20347392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 20347392 is about 4510.8083532777. The cubic root of 20347392 is about 273.0043606490.

The spelling of 20347392 in words is "twenty million, three hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1019 1248 1536 1664 2038 2496 3057 3328 4076 4992 6114 6656 8152 9984 12228 13247 16304 19968 24456 26494 32608 39741 48912 52988 65216 79482 97824 105976 130432 158964 195648 211952 260864 317928 391296 423904 521728 635856 782592 847808 1271712 1565184 1695616 2543424 3391232 5086848 6782464 10173696 20347392