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34330001344 = 261935577937
BaseRepresentation
bin11111111110001110…
…100011111111000000
310021121111221202120021
4133332032203333000
51030301440020334
623434311023224
72323505124322
oct377616437700
9107544852507
1034330001344
1113617433141
1267a106ab14
13331148a082
141939541612
15d5dd373b4
hex7fe3a3fc0

34330001344 has 56 divisors (see below), whose sum is σ = 71738246160. Its totient is φ = 16254959616.

The previous prime is 34330001339. The next prime is 34330001359. The reversal of 34330001344 is 44310003343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4321344 + ... + 4329280.

It is an arithmetic number, because the mean of its divisors is an integer number (1281040110).

Almost surely, 234330001344 is an apocalyptic number.

It is an amenable number.

34330001344 is an abundant number, since it is smaller than the sum of its proper divisors (37408244816).

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

34330001344 is a wasteful number, since it uses less digits than its factorization.

34330001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11525 (or 11515 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 34330001344 its reverse (44310003343), we get a palindrome (78640004687).

The spelling of 34330001344 in words is "thirty-four billion, three hundred thirty million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 3557 7114 7937 14228 15874 28456 31748 56912 63496 67583 113824 126992 135166 150803 227648 253984 270332 301606 507968 540664 603212 1081328 1206424 2162656 2412848 4325312 4825696 9651392 28231909 56463818 112927636 225855272 451710544 536406271 903421088 1072812542 1806842176 2145625084 4291250168 8582500336 17165000672 34330001344