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1347742116 = 2232717314599
BaseRepresentation
bin101000001010100…
…1110100110100100
310110221000101121200
41100111032212210
510230010221431
6341422442500
745253422210
oct12025164644
93427011550
101347742116
11631846666
12317433430
131862b2756
14cadcb940
157d4c0ee6
hex5054e9a4

1347742116 has 72 divisors (see below), whose sum is σ = 4122518400. Its totient is φ = 362416896.

The previous prime is 1347742111. The next prime is 1347742129. The reversal of 1347742116 is 6112477431.

It is a super-2 number, since 2×13477421162 = 3632817622480314912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1347742111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153016 + ... + 161583.

It is an arithmetic number, because the mean of its divisors is an integer number (57257200).

Almost surely, 21347742116 is an apocalyptic number.

It is an amenable number.

1347742116 is an abundant number, since it is smaller than the sum of its proper divisors (2774776284).

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

1347742116 is a wasteful number, since it uses less digits than its factorization.

1347742116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314633 (or 314628 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 1347742116 is about 36711.6073742352. The cubic root of 1347742116 is about 1104.5929490397.

The spelling of 1347742116 in words is "one billion, three hundred forty-seven million, seven hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 314599 629198 943797 1258396 1887594 2202193 2831391 3775188 4404386 5348183 5662782 6606579 8808772 10696366 11325564 13213158 16044549 19819737 21392732 26426316 32089098 37437281 39639474 48133647 64178196 74874562 79278948 96267294 112311843 149749124 192534588 224623686 336935529 449247372 673871058 1347742116