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40378368 = 21333153
BaseRepresentation
bin1001101000001…
…0000000000000
32210222102201010
42122002000000
540314101433
64001240520
71000132122
oct232020000
983872633
1040378368
1120879958
1211633140
138499b34
145511212
153828e63
hex2682000

40378368 has 112 divisors (see below), whose sum is σ = 113239296. Its totient is φ = 12779520.

The previous prime is 40378357. The next prime is 40378379. The reversal of 40378368 is 86387304.

It is an interprime number because it is at equal distance from previous prime (40378357) and next prime (40378379).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761830 + ... + 761882.

Almost surely, 240378368 is an apocalyptic number.

40378368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56619648).

40378368 is an abundant number, since it is smaller than the sum of its proper divisors (72860928).

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

40378368 is an equidigital number, since it uses as much as digits as its factorization.

40378368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 40378368 is about 6354.3975324180. The cubic root of 40378368 is about 343.0701406649.

The spelling of 40378368 in words is "forty million, three hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 128 159 186 192 212 248 256 318 372 384 424 496 512 636 744 768 848 992 1024 1272 1488 1536 1643 1696 1984 2048 2544 2976 3072 3286 3392 3968 4096 4929 5088 5952 6144 6572 6784 7936 8192 9858 10176 11904 12288 13144 13568 15872 19716 20352 23808 24576 26288 27136 31744 39432 40704 47616 52576 54272 63488 78864 81408 95232 105152 108544 126976 157728 162816 190464 210304 217088 253952 315456 325632 380928 420608 434176 630912 651264 761856 841216 1261824 1302528 1682432 2523648 3364864 5047296 6729728 10094592 13459456 20189184 40378368