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400242339 = 327217197271
BaseRepresentation
bin10111110110110…
…011011010100011
31000220010102021100
4113312303122203
51304430223324
6103414325443
712630001200
oct2766633243
91026112240
10400242339
11195a20aa2
12b2059883
1364bc79b3
143b228ca7
15252104c9
hex17db36a3

400242339 has 72 divisors (see below), whose sum is σ = 718331328. Its totient is φ = 213373440.

The previous prime is 400242331. The next prime is 400242439. The reversal of 400242339 is 933242004.

It is a happy number.

400242339 is a `hidden beast` number, since 400 + 24 + 233 + 9 = 666.

It is not a de Polignac number, because 400242339 - 23 = 400242331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400242331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1476774 + ... + 1477044.

It is an arithmetic number, because the mean of its divisors is an integer number (9976824).

Almost surely, 2400242339 is an apocalyptic number.

400242339 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

400242339 is a deficient number, since it is larger than the sum of its proper divisors (318088989).

400242339 is a wasteful number, since it uses less digits than its factorization.

400242339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 400242339 is about 20006.0575576499. The cubic root of 400242339 is about 736.9550671069.

The spelling of 400242339 in words is "four hundred million, two hundred forty-two thousand, three hundred thirty-nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 197 271 357 441 591 813 833 1071 1379 1773 1897 2439 2499 3349 4137 4607 5691 7497 9653 10047 12411 13279 13821 17073 23443 28959 30141 32249 39837 41463 53387 70329 86877 96747 119511 160161 164101 210987 225743 290241 373709 480483 492303 677229 907579 1121127 1476909 2031687 2615963 2722737 3363381 6353053 7847889 8168211 19059159 23543667 44471371 57177477 133414113 400242339