Search a number
-
+
34676036128 = 2510770114447
BaseRepresentation
bin100000010010110110…
…100101001000100000
310022111122002011001101
4200102312211020200
51032004031124003
623532511444144
72335206305146
oct402266451040
9108448064041
1034676036128
111378479a1a8
126878b26654
133368085496
14196d499596
15d7e3db11d
hex812da5220

34676036128 has 48 divisors (see below), whose sum is σ = 69009542784. Its totient is φ = 17150291200.

The previous prime is 34676036111. The next prime is 34676036167. The reversal of 34676036128 is 82163067643.

It is a super-2 number, since 2×346760361282 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 2393001 + ... + 2407447.

It is an arithmetic number, because the mean of its divisors is an integer number (1437698808).

Almost surely, 234676036128 is an apocalyptic number.

It is an amenable number.

34676036128 is a deficient number, since it is larger than the sum of its proper divisors (34333506656).

34676036128 is a wasteful number, since it uses less digits than its factorization.

34676036128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15265 (or 15257 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 34676036128 in words is "thirty-four billion, six hundred seventy-six million, thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 107 214 428 701 856 1402 1712 2804 3424 5608 11216 14447 22432 28894 57788 75007 115576 150014 231152 300028 462304 600056 1200112 1545829 2400224 3091658 6183316 10127347 12366632 20254694 24733264 40509388 49466528 81018776 162037552 324075104 1083626129 2167252258 4334504516 8669009032 17338018064 34676036128