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1264306968 = 233419293541
BaseRepresentation
bin100101101011011…
…1100101100011000
310021010000110010000
41023112330230120
510042130310333
6325242253000
743221301101
oct11326745430
93233013100
101264306968
115997395a1
122b34b7160
13171c1b942
14bdcad3a8
1575ede713
hex4b5bcb18

1264306968 has 160 divisors (see below), whose sum is σ = 3857238000. Its totient is φ = 385378560.

The previous prime is 1264306963. The next prime is 1264307029. The reversal of 1264306968 is 8696034621.

1264306968 is a `hidden beast` number, since 126 + 430 + 6 + 96 + 8 = 666.

1264306968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264306961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 355278 + ... + 358818.

Almost surely, 21264306968 is an apocalyptic number.

1264306968 is a gapful number since it is divisible by the number (18) 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 1264306968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928619000).

1264306968 is an abundant number, since it is smaller than the sum of its proper divisors (2592931032).

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

1264306968 is a wasteful number, since it uses less digits than its factorization.

1264306968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1264306968 is about 35557.0944819736. The cubic root of 1264306968 is about 1081.3115547480.

The spelling of 1264306968 in words is "one billion, two hundred sixty-four million, three hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 29 36 38 54 57 58 72 76 81 87 108 114 116 152 162 171 174 216 228 232 261 324 342 348 456 513 522 551 648 684 696 783 1026 1044 1102 1368 1539 1566 1653 2052 2088 2204 2349 3078 3132 3306 3541 4104 4408 4698 4959 6156 6264 6612 7082 9396 9918 10623 12312 13224 14164 14877 18792 19836 21246 28328 29754 31869 39672 42492 44631 59508 63738 67279 84984 89262 95607 102689 119016 127476 134558 178524 191214 201837 205378 254952 269116 286821 308067 357048 382428 403674 410756 538232 573642 605511 616134 764856 807348 821512 924201 1147284 1211022 1232268 1614696 1816533 1848402 1951091 2294568 2422044 2464536 2772603 3633066 3696804 3902182 4844088 5449599 5545206 5853273 7266132 7393608 7804364 8317809 10899198 11090412 11706546 14532264 15608728 16635618 17559819 21798396 22180824 23413092 33271236 35119638 43596792 46826184 52679457 66542472 70239276 105358914 140478552 158038371 210717828 316076742 421435656 632153484 1264306968