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740340072 = 2332172920857
BaseRepresentation
bin101100001000001…
…011000101101000
31220121002011122200
4230020023011220
53004011340242
6201244020200
724226533603
oct5410130550
91817064580
10740340072
1134a9a24aa
12187b31660
13ba4c4964
147047933a
1544ee004c
hex2c20b168

740340072 has 96 divisors (see below), whose sum is σ = 2196347400. Its totient is φ = 224243712.

The previous prime is 740340071. The next prime is 740340113. The reversal of 740340072 is 270043047.

It can be written as a sum of positive squares in 4 ways, for example, as 735168996 + 5171076 = 27114^2 + 2274^2 .

It is not an unprimeable number, because it can be changed into a prime (740340071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25068 + ... + 45924.

Almost surely, 2740340072 is an apocalyptic number.

740340072 is a gapful number since it is divisible by the number (72) 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 740340072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098173700).

740340072 is an abundant number, since it is smaller than the sum of its proper divisors (1456007328).

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

740340072 is a wasteful number, since it uses less digits than its factorization.

740340072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20915 (or 20908 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 740340072 is about 27209.1909471781. The cubic root of 740340072 is about 904.6427054324.

The spelling of 740340072 in words is "seven hundred forty million, three hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 153 174 204 232 261 306 348 408 493 522 612 696 986 1044 1224 1479 1972 2088 2958 3944 4437 5916 8874 11832 17748 20857 35496 41714 62571 83428 125142 166856 187713 250284 354569 375426 500568 604853 709138 750852 1063707 1209706 1418276 1501704 1814559 2127414 2419412 2836552 3191121 3629118 4254828 4838824 5443677 6382242 7258236 8509656 10282501 10887354 12764484 14516472 20565002 21774708 25528968 30847503 41130004 43549416 61695006 82260008 92542509 123390012 185085018 246780024 370170036 740340072