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3481305312 = 25336263597
BaseRepresentation
bin1100111110000000…
…1000000011100000
322222121200122002210
43033200020003200
524112203232222
61333240242120
7152161415112
oct31740100340
98877618083
103481305312
111527119231
12811a70340
13436322394
142504d33b2
15155967d0c
hexcf8080e0

3481305312 has 24 divisors (see below), whose sum is σ = 9138426696. Its totient is φ = 1160435072.

The previous prime is 3481305227. The next prime is 3481305353. The reversal of 3481305312 is 2135031843.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3481305312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18131703 + ... + 18131894.

It is an arithmetic number, because the mean of its divisors is an integer number (380767779).

Almost surely, 23481305312 is an apocalyptic number.

3481305312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3481305312 is an abundant number, since it is smaller than the sum of its proper divisors (5657121384).

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

3481305312 is a wasteful number, since it uses less digits than its factorization.

3481305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36263610 (or 36263602 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3481305312 is about 59002.5873330992. The cubic root of 3481305312 is about 1515.5864165596.

The spelling of 3481305312 in words is "three billion, four hundred eighty-one million, three hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 36263597 72527194 108790791 145054388 217581582 290108776 435163164 580217552 870326328 1160435104 1740652656 3481305312