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1678943904 = 253114493541
BaseRepresentation
bin110010000010010…
…1010011010100000
311100000020012001120
41210010222122200
511414302201104
6434333332240
756414534121
oct14404523240
94300205046
101678943904
117917a1450
123aa337080
13209ab6541
1411cda4048
159c5e4cd9
hex6412a6a0

1678943904 has 96 divisors (see below), whose sum is σ = 4819953600. Its totient is φ = 507494400.

The previous prime is 1678943897. The next prime is 1678943909. The reversal of 1678943904 is 4093498761.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16789439042 = 5637705265557522432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1678943909) 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 15 ways as a sum of consecutive naturals, for example, 472374 + ... + 475914.

It is an arithmetic number, because the mean of its divisors is an integer number (50207850).

Almost surely, 21678943904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1678943904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409976800).

1678943904 is an abundant number, since it is smaller than the sum of its proper divisors (3141009696).

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

1678943904 is a wasteful number, since it uses less digits than its factorization.

1678943904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 1678943904 is about 40974.9179864951. The cubic root of 1678943904 is about 1188.5352370593.

The spelling of 1678943904 in words is "one billion, six hundred seventy-eight million, nine hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 449 528 898 1056 1347 1796 2694 3541 3592 4939 5388 7082 7184 9878 10623 10776 14164 14368 14817 19756 21246 21552 28328 29634 38951 39512 42492 43104 56656 59268 77902 79024 84984 113312 116853 118536 155804 158048 169968 233706 237072 311608 339936 467412 474144 623216 934824 1246432 1589909 1869648 3179818 3739296 4769727 6359636 9539454 12719272 17488999 19078908 25438544 34977998 38157816 50877088 52466997 69955996 76315632 104933994 139911992 152631264 209867988 279823984 419735976 559647968 839471952 1678943904