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323968440 = 23356913907
BaseRepresentation
bin10011010011110…
…101110110111000
3211120121022011010
4103103311312320
51130413442230
652051433520
711012454255
oct2323656670
9746538133
10323968440
11156965314
12905b58a0
1352170603
143105242c
151d6959b0
hex134f5db8

323968440 has 64 divisors (see below), whose sum is σ = 973560960. Its totient is φ = 86244480.

The previous prime is 323968433. The next prime is 323968441. The reversal of 323968440 is 44869323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323968441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80967 + ... + 84873.

It is an arithmetic number, because the mean of its divisors is an integer number (15211890).

Almost surely, 2323968440 is an apocalyptic number.

323968440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323968440 is an abundant number, since it is smaller than the sum of its proper divisors (649592520).

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

323968440 is a wasteful number, since it uses less digits than its factorization.

323968440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 323968440 is about 17999.1233119838. The cubic root of 323968440 is about 686.8062440786.

The spelling of 323968440 in words is "three hundred twenty-three million, nine hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 691 1382 2073 2764 3455 3907 4146 5528 6910 7814 8292 10365 11721 13820 15628 16584 19535 20730 23442 27640 31256 39070 41460 46884 58605 78140 82920 93768 117210 156280 234420 468840 2699737 5399474 8099211 10798948 13498685 16198422 21597896 26997370 32396844 40496055 53994740 64793688 80992110 107989480 161984220 323968440