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34374137300 = 22521321260213
BaseRepresentation
bin100000000000110110…
…111011010111010100
310021201121000002201022
4200000312323113110
51030344234343200
623442525020312
72324552226506
oct400066732724
9107647002638
1034374137300
111363a339138
1267b39b4698
13331a671319
14194134dd76
15d62b54885
hex800dbb5d4

34374137300 has 36 divisors (see below), whose sum is σ = 74648631036. Its totient is φ = 13739193600.

The previous prime is 34374137257. The next prime is 34374137327. The reversal of 34374137300 is 373147343.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1006539076 + 33367598224 = 31726^2 + 182668^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1994 + ... + 262206.

Almost surely, 234374137300 is an apocalyptic number.

It is an amenable number.

34374137300 is an abundant number, since it is smaller than the sum of its proper divisors (40274493736).

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

34374137300 is a wasteful number, since it uses less digits than its factorization.

34374137300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261548 (or 261541 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 35.

The spelling of 34374137300 in words is "thirty-four billion, three hundred seventy-four million, one hundred thirty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1321 2642 5284 6605 13210 26420 33025 66050 132100 260213 520426 1040852 1301065 2602130 5204260 6505325 13010650 26021300 343741373 687482746 1374965492 1718706865 3437413730 6874827460 8593534325 17187068650 34374137300