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34120014320 = 245760928597
BaseRepresentation
bin11111110001101101…
…100001100111110000
310021001212211022112002
4133301231201213300
51024334210424240
623401410153132
72315345223260
oct376155414760
9107055738462
1034120014320
1113519949847
1267428827a8
1332a9b170b2
1419196bd7a0
15d4a6a8d15
hex7f1b619f0

34120014320 has 40 divisors (see below), whose sum is σ = 90661753824. Its totient is φ = 11698290432.

The previous prime is 34120014307. The next prime is 34120014329. The reversal of 34120014320 is 2341002143.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34120014292 and 34120014301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120014329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30463739 + ... + 30464858.

Almost surely, 234120014320 is an apocalyptic number.

It is an amenable number.

34120014320 is an abundant number, since it is smaller than the sum of its proper divisors (56541739504).

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

34120014320 is a wasteful number, since it uses less digits than its factorization.

34120014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60928617 (or 60928611 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34120014320 its reverse (2341002143), we get a palindrome (36461016463).

The spelling of 34120014320 in words is "thirty-four billion, one hundred twenty million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 60928597 121857194 243714388 304642985 426500179 487428776 609285970 853000358 974857552 1218571940 1706000716 2132500895 2437143880 3412001432 4265001790 4874287760 6824002864 8530003580 17060007160 34120014320