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234465794640 = 24345711242719
BaseRepresentation
bin1101101001011101000…
…0000001101001010000
3211102012022202110110000
43122113100001221100
512320141220412030
6255413451410000
722640165241210
oct3322720015120
9742168673400
10234465794640
1190488912900
1239536153900
13191579728bc
14b4c3690240
156174181860
hex3697401a50

234465794640 has 600 divisors, whose sum is σ = 1022989524480. Its totient is φ = 48719024640.

The previous prime is 234465794627. The next prime is 234465794683. The reversal of 234465794640 is 46497564432.

234465794640 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 6 + 579 + 4 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5467201 + ... + 5509919.

Almost surely, 2234465794640 is an apocalyptic number.

234465794640 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 234465794640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511494762240).

234465794640 is an abundant number, since it is smaller than the sum of its proper divisors (788523729840).

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

234465794640 is a wasteful number, since it uses less digits than its factorization.

234465794640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42773 (or 42747 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 234465794640 in words is "two hundred thirty-four billion, four hundred sixty-five million, seven hundred ninety-four thousand, six hundred forty".