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7345861264 = 247230612
BaseRepresentation
bin1101101011101100…
…01111001010010000
3200221221112102020201
412311312033022100
5110021020030024
63212531144544
7350015535100
oct66566171220
920857472221
107345861264
11312a602325
121510145154
13900b70391
144d986b200
152ced86744
hex1b5d8f290

7345861264 has 45 divisors (see below), whose sum is σ = 16561707561. Its totient is φ = 3147197760.

The previous prime is 7345861261. The next prime is 7345861273. The reversal of 7345861264 is 4621685437.

The square root of 7345861264 is 85708.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7004350864 + 341510400 = 83692^2 + 18480^2 .

It is not an unprimeable number, because it can be changed into a prime (7345861261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2398294 + ... + 2401354.

Almost surely, 27345861264 is an apocalyptic number.

7345861264 is the 85708-th square number.

It is an amenable number.

7345861264 is an abundant number, since it is smaller than the sum of its proper divisors (9215846297).

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

7345861264 is an frugal number, since it uses more digits than its factorization.

7345861264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 3070 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The cubic root of 7345861264 is about 1943.9312763955.

The spelling of 7345861264 in words is "seven billion, three hundred forty-five million, eight hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3061 6122 12244 21427 24488 42854 48976 85708 149989 171416 299978 342832 599956 1199912 2399824 9369721 18739442 37478884 65588047 74957768 131176094 149915536 262352188 459116329 524704376 918232658 1049408752 1836465316 3672930632 7345861264