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40243104 = 25321112703
BaseRepresentation
bin1001100110000…
…0111110100000
32210201120011100
42121200332200
540300234404
63554314400
7666026556
oct231407640
983646140
1040243104
1120797270
1211588a00
1384503b5
1454b7bd6
1537edd39
hex2660fa0

40243104 has 72 divisors (see below), whose sum is σ = 124854912. Its totient is φ = 12193920.

The previous prime is 40243079. The next prime is 40243111. The reversal of 40243104 is 40134204.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3184 + ... + 9519.

It is an arithmetic number, because the mean of its divisors is an integer number (1734096).

Almost surely, 240243104 is an apocalyptic number.

40243104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40243104 is an abundant number, since it is smaller than the sum of its proper divisors (84611808).

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

40243104 is a wasteful number, since it uses less digits than its factorization.

40243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40243104 is about 6343.7452660081. The cubic root of 40243104 is about 342.6866271149.

Adding to 40243104 its reverse (40134204), we get a palindrome (80377308).

Subtracting from 40243104 its reverse (40134204), we obtain a square (108900 = 3302).

The spelling of 40243104 in words is "forty million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 12703 25406 38109 50812 76218 101624 114327 139733 152436 203248 228654 279466 304872 406496 419199 457308 558932 609744 838398 914616 1117864 1219488 1257597 1676796 1829232 2235728 2515194 3353592 3658464 4471456 5030388 6707184 10060776 13414368 20121552 40243104