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400342446 = 23372712131
BaseRepresentation
bin10111110111001…
…011110110101110
31000220022111121000
4113313023312232
51304441424241
6103420421130
712630566100
oct2767136656
91026274530
10400342446
11195a8a229
12b20a77a6
1364c3142a
143b253570
152522eeb6
hex17dcbdae

400342446 has 96 divisors (see below), whose sum is σ = 1049967360. Its totient is φ = 112719600.

The previous prime is 400342441. The next prime is 400342493. The reversal of 400342446 is 644243004.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400342441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186801 + ... + 188931.

It is an arithmetic number, because the mean of its divisors is an integer number (10937160).

Almost surely, 2400342446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400342446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524983680).

400342446 is an abundant number, since it is smaller than the sum of its proper divisors (649624914).

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

400342446 is a wasteful number, since it uses less digits than its factorization.

400342446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 400342446 is about 20008.5593184517. The cubic root of 400342446 is about 737.0165033951.

The spelling of 400342446 in words is "four hundred million, three hundred forty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 71 98 126 142 147 189 213 294 378 426 441 497 639 882 994 1278 1323 1491 1917 2131 2646 2982 3479 3834 4262 4473 6393 6958 8946 10437 12786 13419 14917 19179 20874 26838 29834 31311 38358 44751 57537 62622 89502 93933 104419 115074 134253 151301 187866 208838 268506 302602 313257 402759 453903 626514 805518 907806 939771 1059107 1361709 1879542 2118214 2723418 2819313 3177321 4085127 5638626 6354642 7413749 8170254 9531963 14827498 19063926 22241247 28595889 44482494 57191778 66723741 133447482 200171223 400342446