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1330829956 = 2223193241311
BaseRepresentation
bin100111101010010…
…1101101010000100
310102202012011111101
41033110231222010
510211143024311
6340020145444
744656603501
oct11724555204
93382164441
101330829956
11623245275
12311838284
13182940961
14c8a684a8
157bc7eec1
hex4f52da84

1330829956 has 48 divisors (see below), whose sum is σ = 2460826368. Its totient is φ = 628531200.

The previous prime is 1330829953. The next prime is 1330829987. The reversal of 1330829956 is 6599280331.

It is a happy number.

It is a super-2 number, since 2×13308299562 = 3542216743573923872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (1330829953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4279041 + ... + 4279351.

It is an arithmetic number, because the mean of its divisors is an integer number (51267216).

Almost surely, 21330829956 is an apocalyptic number.

It is an amenable number.

1330829956 is a deficient number, since it is larger than the sum of its proper divisors (1129996412).

1330829956 is a wasteful number, since it uses less digits than its factorization.

1330829956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 1330829956 is about 36480.5421560590. The cubic root of 1330829956 is about 1099.9531539278.

It can be divided in two parts, 13308 and 29956, that added together give a square (43264 = 2082).

The spelling of 1330829956 in words is "one billion, three hundred thirty million, eight hundred twenty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 23 46 92 193 241 311 386 482 622 772 964 1244 4439 5543 7153 8878 11086 14306 17756 22172 28612 46513 60023 74951 93026 120046 149902 186052 240092 299804 1069799 1380529 1723873 2139598 2761058 3447746 4279196 5522116 6895492 14465543 28931086 57862172 332707489 665414978 1330829956