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243139464 = 23323376937
BaseRepresentation
bin11100111111000…
…00001110001000
3121221111202122100
432133200032020
5444220430324
640043153400
76011436261
oct1637401610
9557452570
10243139464
11115278307
1269515860
133b4acb09
1424411968
151652b4c9
hexe7e0388

243139464 has 24 divisors (see below), whose sum is σ = 658502910. Its totient is φ = 81046464.

The previous prime is 243139441. The next prime is 243139483. The reversal of 243139464 is 464931342.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 171872100 + 71267364 = 13110^2 + 8442^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2431394643 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1688397 + ... + 1688540.

Almost surely, 2243139464 is an apocalyptic number.

243139464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243139464 is an abundant number, since it is smaller than the sum of its proper divisors (415363446).

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

243139464 is a wasteful number, since it uses less digits than its factorization.

243139464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376949 (or 3376942 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 243139464 is about 15592.9299363526. The cubic root of 243139464 is about 624.1445054876.

The spelling of 243139464 in words is "two hundred forty-three million, one hundred thirty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3376937 6753874 10130811 13507748 20261622 27015496 30392433 40523244 60784866 81046488 121569732 243139464