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400613376 = 213316301
BaseRepresentation
bin10111111000001…
…110000000000000
31000220211021020110
4113320032000000
51310024112001
6103430311320
712633105012
oct2770160000
91026737213
10400613376
11196154839
12b21b8540
1364cc7847
143b2c41b2
15252853d6
hex17e0e000

400613376 has 56 divisors (see below), whose sum is σ = 1068302664. Its totient is φ = 133529600.

The previous prime is 400613371. The next prime is 400613377. The reversal of 400613376 is 673316004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400613371) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16426 + ... + 32726.

Almost surely, 2400613376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534151332).

400613376 is an abundant number, since it is smaller than the sum of its proper divisors (667689288).

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

400613376 is an equidigital number, since it uses as much as digits as its factorization.

400613376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16330 (or 16306 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 400613376 is about 20015.3285259073. The cubic root of 400613376 is about 737.1827234699.

The spelling of 400613376 in words is "four hundred million, six hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16301 24576 32602 48903 65204 97806 130408 195612 260816 391224 521632 782448 1043264 1564896 2086528 3129792 4173056 6259584 8346112 12519168 16692224 25038336 33384448 50076672 66768896 100153344 133537792 200306688 400613376