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268432340 = 225111220147
BaseRepresentation
bin11111111111111…
…11001111010100
3200201002202221112
433333333033110
51022204313330
642345234152
76436431401
oct1777771724
9621082845
10268432340
11128583210
1275a92958
13437c7407
14279172a8
1518875795
hexffff3d4

268432340 has 24 divisors (see below), whose sum is σ = 614954592. Its totient is φ = 97611680.

The previous prime is 268432337. The next prime is 268432349. The reversal of 268432340 is 43234862.

It is a junction number, because it is equal to n+sod(n) for n = 268432297 and 268432306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268432349) 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, 609854 + ... + 610293.

It is an arithmetic number, because the mean of its divisors is an integer number (25623108).

Almost surely, 2268432340 is an apocalyptic number.

268432340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268432340 is an abundant number, since it is smaller than the sum of its proper divisors (346522252).

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

268432340 is a wasteful number, since it uses less digits than its factorization.

268432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220167 (or 1220165 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 268432340 is about 16383.9049069506. The cubic root of 268432340 is about 645.0770815076.

The spelling of 268432340 in words is "two hundred sixty-eight million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1220147 2440294 4880588 6100735 12201470 13421617 24402940 26843234 53686468 67108085 134216170 268432340