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1378466352 = 243217563099
BaseRepresentation
bin101001000101001…
…1011101000110000
310120001211100100100
41102022123220300
510310341410402
6344441152400
746105525224
oct12212335060
93501740310
101378466352
1164812119a
1232578b700
1318c77c283
14d1108784
158103e71c
hex5229ba30

1378466352 has 60 divisors (see below), whose sum is σ = 4084727400. Its totient is φ = 432459264.

The previous prime is 1378466333. The next prime is 1378466357. The reversal of 1378466352 is 2536648731.

1378466352 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 4 + 6 + 635 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1378466298 and 1378466307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378466357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279102 + ... + 283997.

It is an arithmetic number, because the mean of its divisors is an integer number (68078790).

Almost surely, 21378466352 is an apocalyptic number.

1378466352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1378466352 is an abundant number, since it is smaller than the sum of its proper divisors (2706261048).

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

1378466352 is a wasteful number, since it uses less digits than its factorization.

1378466352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563130 (or 563121 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1378466352 is about 37127.7032955178. The cubic root of 1378466352 is about 1112.9236972512.

The spelling of 1378466352 in words is "one billion, three hundred seventy-eight million, four hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 563099 1126198 1689297 2252396 3378594 4504792 5067891 6757188 9009584 9572683 10135782 13514376 19145366 20271564 27028752 28718049 38290732 40543128 57436098 76581464 81086256 86154147 114872196 153162928 172308294 229744392 344616588 459488784 689233176 1378466352