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20346032 = 247593079
BaseRepresentation
bin100110110011…
…1010010110000
31102021200111202
41031213102300
520202033112
62004030332
7334636610
oct115472260
942250452
1020346032
1110537303
1269923a8
1342a4a95
1429b8a40
151bbd6c2
hex13674b0

20346032 has 40 divisors (see below), whose sum is σ = 45830400. Its totient is φ = 8569152.

The previous prime is 20346019. The next prime is 20346043. The reversal of 20346032 is 23064302.

It is a super-2 number, since 2×203460322 = 827922036290048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20345995 and 20346013.

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, 5069 + ... + 8147.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 220346032 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 20346032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915200).

20346032 is an abundant number, since it is smaller than the sum of its proper divisors (25484368).

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

20346032 is a wasteful number, since it uses less digits than its factorization.

20346032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 20346032 is about 4510.6576017251. The cubic root of 20346032 is about 272.9982780643.

The spelling of 20346032 in words is "twenty million, three hundred forty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3079 3304 6158 6608 12316 21553 24632 43106 49264 86212 172424 181661 344848 363322 726644 1271627 1453288 2543254 2906576 5086508 10173016 20346032