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3113434432 = 26296412617
BaseRepresentation
bin1011100110010011…
…0011110101000000
322000222110212010101
42321210303311000
522334014400212
61232535412144
7140103520213
oct27144636500
98028425111
103113434432
1113584a8409
1272a824054
133a804cbc4
142176d377a
151334ee157
hexb9933d40

3113434432 has 56 divisors (see below), whose sum is σ = 6403680360. Its totient is φ = 1500119040.

The previous prime is 3113434427. The next prime is 3113434447. The reversal of 3113434432 is 2344343113.

It can be written as a sum of positive squares in 4 ways, for example, as 2069886016 + 1043548416 = 45496^2 + 32304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3113434432.

It is a congruent number.

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, 1188388 + ... + 1191004.

It is an arithmetic number, because the mean of its divisors is an integer number (114351435).

Almost surely, 23113434432 is an apocalyptic number.

3113434432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201840180).

3113434432 is an abundant number, since it is smaller than the sum of its proper divisors (3290245928).

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

3113434432 is a wasteful number, since it uses less digits than its factorization.

3113434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3289 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The square root of 3113434432 is about 55798.1579624274. The cubic root of 3113434432 is about 1460.2030167427.

Adding to 3113434432 its reverse (2344343113), we get a palindrome (5457777545).

The spelling of 3113434432 in words is "three billion, one hundred thirteen million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 641 928 1282 1856 2564 2617 5128 5234 10256 10468 18589 20512 20936 37178 41024 41872 74356 75893 83744 148712 151786 167488 297424 303572 594848 607144 1189696 1214288 1677497 2428576 3354994 4857152 6709988 13419976 26839952 48647413 53679904 97294826 107359808 194589652 389179304 778358608 1556717216 3113434432