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10349864 = 237421439
BaseRepresentation
bin100111011110…
…110100101000
3201110211100022
4213132310220
510122143424
61005500012
7153654350
oct47366450
921424308
1010349864
11592a008
123571608
1321b4ba5
141535b60
15d9695e
hex9ded28

10349864 has 32 divisors (see below), whose sum is σ = 22281600. Its totient is φ = 4415040.

The previous prime is 10349863. The next prime is 10349873. The reversal of 10349864 is 46894301.

It is not an unprimeable number, because it can be changed into a prime (10349863) 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 7 ways as a sum of consecutive naturals, for example, 23357 + ... + 23795.

It is an arithmetic number, because the mean of its divisors is an integer number (696300).

Almost surely, 210349864 is an apocalyptic number.

10349864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10349864 is an abundant number, since it is smaller than the sum of its proper divisors (11931736).

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

10349864 is a wasteful number, since it uses less digits than its factorization.

10349864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 10349864 is about 3217.1204515840. The cubic root of 10349864 is about 217.9272545765.

The spelling of 10349864 in words is "ten million, three hundred forty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 421 439 842 878 1684 1756 2947 3073 3368 3512 5894 6146 11788 12292 23576 24584 184819 369638 739276 1293733 1478552 2587466 5174932 10349864