Search a number
-
+
3400774264230 = 2357196018091753
BaseRepresentation
bin110001011111001101111…
…100010010010110100110
3110001002222210202100021220
4301133031330102112212
5421204241202423410
611122143310521210
7500461233203160
oct61371574222646
913032883670256
103400774264230
1110a1295461272
1246b114506206
131b88cb6b0055
14ba853c45930
155d6de0ce070
hex317cdf125a6

3400774264230 has 256 divisors, whose sum is σ = 9852888729600. Its totient is φ = 733855334400.

The previous prime is 3400774264207. The next prime is 3400774264271. The reversal of 3400774264230 is 324624770043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1939973034 + ... + 1939974786.

It is an arithmetic number, because the mean of its divisors is an integer number (38487846600).

Almost surely, 23400774264230 is an apocalyptic number.

3400774264230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400774264230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926444364800).

3400774264230 is an abundant number, since it is smaller than the sum of its proper divisors (6452114465370).

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

3400774264230 is a wasteful number, since it uses less digits than its factorization.

3400774264230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199.

The product of its (nonzero) digits is 677376, while the sum is 42.

The spelling of 3400774264230 in words is "three trillion, four hundred billion, seven hundred seventy-four million, two hundred sixty-four thousand, two hundred thirty".