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1323335664 = 243374310177
BaseRepresentation
bin100111011100000…
…0111111111110000
310102020002102021000
41032320013333300
510202233220124
6335151402000
744536111320
oct11670077760
93366072230
101323335664
11619a96742
1230b223300
13181218771
14c7a77280
157b29e6c9
hex4ee07ff0

1323335664 has 160 divisors (see below), whose sum is σ = 4442493440. Its totient is φ = 369266688.

The previous prime is 1323335653. The next prime is 1323335681. The reversal of 1323335664 is 4665333231.

1323335664 is a `hidden beast` number, since 13 + 233 + 356 + 64 = 666.

It is a super-2 number, since 2×13233356642 = 3502434559228641792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124944 + ... + 135120.

It is an arithmetic number, because the mean of its divisors is an integer number (27765584).

Almost surely, 21323335664 is an apocalyptic number.

1323335664 is a gapful number since it is divisible by the number (14) 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 1323335664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221246720).

1323335664 is an abundant number, since it is smaller than the sum of its proper divisors (3119157776).

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

1323335664 is a wasteful number, since it uses less digits than its factorization.

1323335664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244 (or 10232 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 1323335664 is about 36377.6808496638. The cubic root of 1323335664 is about 1097.8845469697.

Adding to 1323335664 its reverse (4665333231), we get a palindrome (5988668895).

The spelling of 1323335664 in words is "one billion, three hundred twenty-three million, three hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 43 48 54 56 63 72 84 86 108 112 126 129 144 168 172 189 216 252 258 301 336 344 378 387 432 504 516 602 688 756 774 903 1008 1032 1161 1204 1512 1548 1806 2064 2322 2408 2709 3024 3096 3612 4644 4816 5418 6192 7224 8127 9288 10177 10836 14448 16254 18576 20354 21672 30531 32508 40708 43344 61062 65016 71239 81416 91593 122124 130032 142478 162832 183186 213717 244248 274779 284956 366372 427434 437611 488496 549558 569912 641151 732744 854868 875222 1099116 1139824 1282302 1312833 1465488 1709736 1750444 1923453 2198232 2564604 2625666 3063277 3419472 3500888 3846906 3938499 4396464 5129208 5251332 6126554 7001776 7693812 7876998 9189831 10258416 10502664 11815497 12253108 15387624 15753996 18379662 21005328 23630994 24506216 27569493 30775248 31507992 36759324 47261988 49012432 55138986 63015984 73518648 82708479 94523976 110277972 147037296 165416958 189047952 220555944 330833916 441111888 661667832 1323335664