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1694009376 = 253672617
BaseRepresentation
bin110010011111000…
…1000100000100000
311101001120121000000
41210332020200200
511432131300001
6440032300000
756656561563
oct14476104040
94331517000
101694009376
1179a251354
123b33a1600
1320cc5c917
14120da64da
159dabda86
hex64f88820

1694009376 has 84 divisors (see below), whose sum is σ = 5000402862. Its totient is φ = 564662016.

The previous prime is 1694009371. The next prime is 1694009389. The reversal of 1694009376 is 6739004961.

It can be written as a sum of positive squares in only one way, i.e., 947408400 + 746600976 = 30780^2 + 27324^2 .

It is not an unprimeable number, because it can be changed into a prime (1694009371) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 12981 + ... + 59636.

Almost surely, 21694009376 is an apocalyptic number.

1694009376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1694009376 is an abundant number, since it is smaller than the sum of its proper divisors (3306393486).

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

1694009376 is an frugal number, since it uses more digits than its factorization.

1694009376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72645 (or 72622 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1694009376 is about 41158.3451562378. The cubic root of 1694009376 is about 1192.0796382388.

The spelling of 1694009376 in words is "one billion, six hundred ninety-four million, nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 72617 145234 217851 290468 435702 580936 653553 871404 1161872 1307106 1742808 1960659 2323744 2614212 3485616 3921318 5228424 5881977 6971232 7842636 10456848 11763954 15685272 17645931 20913696 23527908 31370544 35291862 47055816 52937793 62741088 70583724 94111632 105875586 141167448 188223264 211751172 282334896 423502344 564669792 847004688 1694009376