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268438360 = 23518733583
BaseRepresentation
bin10000000000000…
…000101101011000
3200201010002012111
4100000000231120
51022210011420
642345322104
76436455061
oct2000005530
9621102174
10268438360
11128587793
1275a96334
13437ca088
1427919568
151887745a
hex10000b58

268438360 has 32 divisors (see below), whose sum is σ = 604477440. Its totient is φ = 107288064.

The previous prime is 268438337. The next prime is 268438399. The reversal of 268438360 is 63834862.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73129 + ... + 76711.

It is an arithmetic number, because the mean of its divisors is an integer number (18889920).

Almost surely, 2268438360 is an apocalyptic number.

268438360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268438360 is an abundant number, since it is smaller than the sum of its proper divisors (336039080).

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

268438360 is a wasteful number, since it uses less digits than its factorization.

268438360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 268438360 is about 16384.0886228072. The cubic root of 268438360 is about 645.0819037470.

The spelling of 268438360 in words is "two hundred sixty-eight million, four hundred thirty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1873 3583 3746 7166 7492 9365 14332 14984 17915 18730 28664 35830 37460 71660 74920 143320 6710959 13421918 26843836 33554795 53687672 67109590 134219180 268438360