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40347904 = 283972
BaseRepresentation
bin1001100111101…
…0100100000000
32210220212220211
42121322210000
540312113104
64000443504
7666644242
oct231724400
983825824
1040347904
1120858a83
1211619594
138488ccc
145504092
15381ee04
hex267a900

40347904 has 27 divisors (see below), whose sum is σ = 80741577. Its totient is φ = 20123136.

The previous prime is 40347899. The next prime is 40347929. The reversal of 40347904 is 40974304.

The square root of 40347904 is 6352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27040000 + 13307904 = 5200^2 + 3648^2 .

It is a Duffinian number.

40347904 is a Rhonda number in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 101434 + ... + 101830.

Almost surely, 240347904 is an apocalyptic number.

40347904 is the 6352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40347904

40347904 is an abundant number, since it is smaller than the sum of its proper divisors (40393673).

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

40347904 is an frugal number, since it uses more digits than its factorization.

40347904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The cubic root of 40347904 is about 342.9838410054.

The spelling of 40347904 in words is "forty million, three hundred forty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 397 794 1588 3176 6352 12704 25408 50816 101632 157609 315218 630436 1260872 2521744 5043488 10086976 20173952 40347904