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334680100 = 22523346801
BaseRepresentation
bin10011111100101…
…101000000100100
3212022202111210021
4103330231000210
51141134230400
653113204524
711202506506
oct2374550044
9768674707
10334680100
11161a11127
1294100744
1354451081
143263dd76
151e5ae71a
hex13f2d024

334680100 has 18 divisors (see below), whose sum is σ = 726256034. Its totient is φ = 133872000.

The previous prime is 334680083. The next prime is 334680113. The reversal of 334680100 is 1086433.

It can be written as a sum of positive squares in 3 ways, for example, as 1763584 + 332916516 = 1328^2 + 18246^2 .

It is a super-2 number, since 2×3346801002 = 224021538672020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1673301 + ... + 1673500.

Almost surely, 2334680100 is an apocalyptic number.

It is an amenable number.

334680100 is an abundant number, since it is smaller than the sum of its proper divisors (391575934).

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

334680100 is a wasteful number, since it uses less digits than its factorization.

334680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346815 (or 3346808 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 334680100 is about 18294.2641284092. The cubic root of 334680100 is about 694.2938154130.

The spelling of 334680100 in words is "three hundred thirty-four million, six hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3346801 6693602 13387204 16734005 33468010 66936020 83670025 167340050 334680100