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1304091372 = 22319291271553
BaseRepresentation
bin100110110111010…
…1101101011101100
310100212212201001110
41031232231223230
510132321410442
6333223112020
744213410443
oct11556555354
93325781043
101304091372
1160a142171
123048a2610
1317a23b2cc
14c52a7d5a
157974c69c
hex4dbadaec

1304091372 has 96 divisors (see below), whose sum is σ = 3341721600. Its totient is φ = 394232832.

The previous prime is 1304091361. The next prime is 1304091379. The reversal of 1304091372 is 2731904031.

It is not an unprimeable number, because it can be changed into a prime (1304091379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838948 + ... + 840500.

It is an arithmetic number, because the mean of its divisors is an integer number (34809600).

Almost surely, 21304091372 is an apocalyptic number.

1304091372 is a gapful number since it is divisible by the number (12) 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 1304091372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670860800).

1304091372 is an abundant number, since it is smaller than the sum of its proper divisors (2037630228).

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

1304091372 is a wasteful number, since it uses less digits than its factorization.

1304091372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1304091372 is about 36112.2053051319. The cubic root of 1304091372 is about 1092.5366312793.

The spelling of 1304091372 in words is "one billion, three hundred four million, ninety-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 127 174 228 254 348 381 508 551 762 1102 1524 1553 1653 2204 2413 3106 3306 3683 4659 4826 6212 6612 7239 7366 9318 9652 11049 14478 14732 18636 22098 28956 29507 44196 45037 59014 69977 88521 90074 118028 135111 139954 177042 180148 197231 209931 270222 279908 354084 394462 419862 540444 591693 788924 839724 855703 1183386 1711406 2366772 2567109 3422812 3747389 5134218 5719699 7494778 10268436 11242167 11439398 14989556 17159097 22484334 22878796 34318194 44968668 68636388 108674281 217348562 326022843 434697124 652045686 1304091372