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10374364 = 22711132591
BaseRepresentation
bin100111100100…
…110011011100
3201112001221201
4213210303130
510123434424
61010205244
7154115650
oct47446334
921461851
1010374364
115946460
123583824
1321c30a0
141540a60
15d9dd44
hex9e4cdc

10374364 has 48 divisors (see below), whose sum is σ = 24385536. Its totient is φ = 3729600.

The previous prime is 10374349. The next prime is 10374389. The reversal of 10374364 is 46347301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2709 + ... + 5299.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 210374364 is an apocalyptic number.

10374364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10374364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

10374364 is an abundant number, since it is smaller than the sum of its proper divisors (14011172).

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

10374364 is a wasteful number, since it uses less digits than its factorization.

10374364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 10374364 is about 3220.9259538214. The cubic root of 10374364 is about 218.0990768119.

The spelling of 10374364 in words is "ten million, three hundred seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2591 4004 5182 10364 18137 28501 33683 36274 57002 67366 72548 114004 134732 199507 235781 370513 399014 471562 741026 798028 943124 1482052 2593591 5187182 10374364