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10379352 = 2332511723
BaseRepresentation
bin100111100110…
…000001011000
3201112022210110
4213212001120
510124114402
61010244320
7154136334
oct47460130
921468713
1010379352
11594a185
1235866a0
1321c5439
1415427c4
15da056c
hex9e6058

10379352 has 32 divisors (see below), whose sum is σ = 26066880. Its totient is φ = 3444000.

The previous prime is 10379323. The next prime is 10379353. The reversal of 10379352 is 25397301.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5163 + ... + 6885.

It is an arithmetic number, because the mean of its divisors is an integer number (814590).

Almost surely, 210379352 is an apocalyptic number.

10379352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10379352 is an abundant number, since it is smaller than the sum of its proper divisors (15687528).

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

10379352 is a wasteful number, since it uses less digits than its factorization.

10379352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 10379352 is about 3221.7001722693. The cubic root of 10379352 is about 218.1340252640.

It can be divided in two parts, 10379 and 352, that added together give a triangular number (10731 = T146).

The spelling of 10379352 in words is "ten million, three hundred seventy-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 251 502 753 1004 1506 1723 2008 3012 3446 5169 6024 6892 10338 13784 20676 41352 432473 864946 1297419 1729892 2594838 3459784 5189676 10379352