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34057331388 = 2233615169601
BaseRepresentation
bin11111101101111110…
…011010001010111100
310020220111212200201000
4133231332122022330
51024222134101023
623351250450300
72313654353223
oct375576321274
9106814780630
1034057331388
1113497526173
126725893990
133299b3abc2
141911243cba
15d44e26243
hex7edf9a2bc

34057331388 has 48 divisors (see below), whose sum is σ = 89744290720. Its totient is φ = 11166336000.

The previous prime is 34057331387. The next prime is 34057331389. The reversal of 34057331388 is 88313375043.

34057331388 is a `hidden beast` number, since 3 + 40 + 573 + 3 + 1 + 38 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34057331387) and next prime (34057331389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34057331381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2578213 + ... + 2591388.

Almost surely, 234057331388 is an apocalyptic number.

It is an amenable number.

34057331388 is an abundant number, since it is smaller than the sum of its proper divisors (55686959332).

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

34057331388 is a wasteful number, since it uses less digits than its factorization.

34057331388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169675 (or 5169667 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 34057331388 in words is "thirty-four billion, fifty-seven million, three hundred thirty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 6588 5169601 10339202 15508803 20678404 31017606 46526409 62035212 93052818 139579227 186105636 279158454 315345661 558316908 630691322 946036983 1261382644 1892073966 2838110949 3784147932 5676221898 8514332847 11352443796 17028665694 34057331388