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306429696 = 2833431031
BaseRepresentation
bin10010010000111…
…011111100000000
3210100121020112000
4102100323330000
51111421222241
650223504000
710410416016
oct2220737400
9710536460
10306429696
11147a76191
1286758000
134b63c561
142c9a88b6
151bd7deb6
hex1243bf00

306429696 has 144 divisors (see below), whose sum is σ = 928139520. Its totient is φ = 99671040.

The previous prime is 306429679. The next prime is 306429733. The reversal of 306429696 is 696924603.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296701 + ... + 297731.

Almost surely, 2306429696 is an apocalyptic number.

306429696 is a gapful number since it is divisible by the number (36) 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 306429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464069760).

306429696 is an abundant number, since it is smaller than the sum of its proper divisors (621709824).

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

306429696 is a wasteful number, since it uses less digits than its factorization.

306429696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 306429696 is about 17505.1334185147. The cubic root of 306429696 is about 674.1816848854.

The spelling of 306429696 in words is "three hundred six million, four hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 516 576 688 768 774 864 1031 1032 1152 1161 1376 1548 1728 2062 2064 2304 2322 2752 3093 3096 3456 4124 4128 4644 5504 6186 6192 6912 8248 8256 9279 9288 11008 12372 12384 16496 16512 18558 18576 24744 24768 27837 32992 33024 37116 37152 44333 49488 49536 55674 65984 74232 74304 88666 98976 99072 111348 131968 132999 148464 148608 177332 197952 222696 263936 265998 296928 297216 354664 395904 398997 445392 531996 593856 709328 791808 797994 890784 1063992 1187712 1196991 1418656 1595988 1781568 2127984 2375424 2393982 2837312 3191976 3563136 4255968 4787964 5674624 6383952 7126272 8511936 9575928 11349248 12767904 17023872 19151856 25535808 34047744 38303712 51071616 76607424 102143232 153214848 306429696