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34306860343 = 737321372
BaseRepresentation
bin11111111100110110…
…010010010100110111
310021112220102002002011
4133330312102110313
51030230024012333
623432123025051
72323104334000
oct377466222467
9107486362064
1034306860343
1113605367a48
12679536b187
133309747082
14193643a1a7
15d5bcb59cd
hex7fcd92537

34306860343 has 36 divisors (see below), whose sum is σ = 40861808400. Its totient is φ = 28791358848.

The previous prime is 34306860337. The next prime is 34306860373.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34306860343 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34306860343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34306860296 and 34306860305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34306860373) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 250414971 + ... + 250415107.

Almost surely, 234306860343 is an apocalyptic number.

34306860343 is a deficient number, since it is larger than the sum of its proper divisors (6554948057).

34306860343 is an frugal number, since it uses more digits than its factorization.

34306860343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 34306860343 in words is "thirty-four billion, three hundred six million, eight hundred sixty thousand, three hundred forty-three".

Divisors: 1 7 49 73 137 343 511 959 3577 5329 6713 10001 18769 25039 37303 46991 70007 131383 261121 490049 730073 919681 1370137 1827847 3430343 5110511 6437767 9590959 35773577 67136713 100020001 250415039 469956991 700140007 4900980049 34306860343