Search a number
-
+
334100128 = 2553196993
BaseRepresentation
bin10011111010011…
…111011010100000
3212021200001012211
4103322133122200
51141012201003
653052531504
711164542565
oct2372373240
9767601184
10334100128
1116165540a
1293a80b94
13542aa0ab
143252c86c
151e4e796d
hex13e9f6a0

334100128 has 24 divisors (see below), whose sum is σ = 670173588. Its totient is φ = 163897344.

The previous prime is 334100083. The next prime is 334100171. The reversal of 334100128 is 821001433.

334100128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 325874704 + 8225424 = 18052^2 + 2868^2 .

It is a super-2 number, since 2×3341001282 = 223245791059232768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334100099 and 334100108.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96801 + ... + 100192.

Almost surely, 2334100128 is an apocalyptic number.

It is an amenable number.

334100128 is an abundant number, since it is smaller than the sum of its proper divisors (336073460).

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

334100128 is a wasteful number, since it uses less digits than its factorization.

334100128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197056 (or 197048 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 334100128 is about 18278.4060574220. The cubic root of 334100128 is about 693.8925329196.

The spelling of 334100128 in words is "three hundred thirty-four million, one hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 196993 393986 787972 1575944 3151888 6303776 10440629 20881258 41762516 83525032 167050064 334100128