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10347428 = 22721331131
BaseRepresentation
bin100111011110…
…001110100100
3201110201000002
4213132032210
510122104203
61005440432
7153644300
oct47361644
921421002
1010347428
1159281a3
123570118
1321b3a50
141534d00
15d95d88
hex9de3a4

10347428 has 72 divisors (see below), whose sum is σ = 23595264. Its totient is φ = 3931200.

The previous prime is 10347427. The next prime is 10347437. The reversal of 10347428 is 82474301.

It is a self number, because there is not a number n which added to its sum of digits gives 10347428.

It is not an unprimeable number, because it can be changed into a prime (10347427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78923 + ... + 79053.

It is an arithmetic number, because the mean of its divisors is an integer number (327712).

Almost surely, 210347428 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 10347428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797632).

10347428 is an abundant number, since it is smaller than the sum of its proper divisors (13247836).

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

10347428 is a wasteful number, since it uses less digits than its factorization.

10347428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 10347428 is about 3216.7418298645. The cubic root of 10347428 is about 217.9101557223.

The spelling of 10347428 in words is "ten million, three hundred forty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 131 182 196 217 262 364 403 434 524 637 806 868 917 1274 1519 1612 1703 1834 2548 2821 3038 3406 3668 4061 5642 6076 6419 6812 8122 11284 11921 12838 16244 19747 23842 25676 28427 39494 47684 52793 56854 78988 83447 105586 113708 166894 198989 211172 333788 369551 397978 739102 795956 1478204 2586857 5173714 10347428