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239312640 = 2835729307
BaseRepresentation
bin11100100001110…
…01111100000000
3121200022100020010
432100321330000
5442231001030
635425144520
75634060330
oct1620717400
9550270203
10239312640
111130a4146
126818b140
133a770018
1423ad70c0
15160226b0
hexe439f00

239312640 has 288 divisors, whose sum is σ = 906554880. Its totient is φ = 52641792.

The previous prime is 239312629. The next prime is 239312651. The reversal of 239312640 is 46213932.

It is an interprime number because it is at equal distance from previous prime (239312629) and next prime (239312651).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 239312598 and 239312607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779367 + ... + 779673.

It is an arithmetic number, because the mean of its divisors is an integer number (3147760).

Almost surely, 2239312640 is an apocalyptic number.

239312640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453277440).

239312640 is an abundant number, since it is smaller than the sum of its proper divisors (667242240).

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

239312640 is a wasteful number, since it uses less digits than its factorization.

239312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 239312640 is about 15469.7330293706. The cubic root of 239312640 is about 620.8526596489.

The spelling of 239312640 in words is "two hundred thirty-nine million, three hundred twelve thousand, six hundred forty".