Search a number
-
+
34351343064 = 2332477101987
BaseRepresentation
bin11111111111011111…
…111110010111011000
310021200000010000220100
4133333133332113120
51030322420434224
623440352255400
72324154412143
oct377737762730
9107600100810
1034351343064
111362848a525
1267a8241560
133315a200cc
14193c2d905a
15d60b50ac9
hex7ff7fe5d8

34351343064 has 24 divisors (see below), whose sum is σ = 93034887660. Its totient is φ = 11450447664.

The previous prime is 34351343051. The next prime is 34351343069. The reversal of 34351343064 is 46034315343.

34351343064 is a `hidden beast` number, since 3 + 43 + 513 + 43 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34351343069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 238550922 + ... + 238551065.

Almost surely, 234351343064 is an apocalyptic number.

It is an amenable number.

34351343064 is an abundant number, since it is smaller than the sum of its proper divisors (58683544596).

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

34351343064 is a wasteful number, since it uses less digits than its factorization.

34351343064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477101999 (or 477101992 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 34351343064 in words is "thirty-four billion, three hundred fifty-one million, three hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 477101987 954203974 1431305961 1908407948 2862611922 3816815896 4293917883 5725223844 8587835766 11450447688 17175671532 34351343064