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2348672256 = 283271071361
BaseRepresentation
bin1000101111111101…
…1110010100000000
320001200102220122100
42023333132110000
514302230003011
61025020110400
7112126245660
oct21377362400
96050386570
102348672256
11aa5845257
12556695400
132b57870c8
14183cdc1a0
15db2d7d56
hex8bfde500

2348672256 has 216 divisors, whose sum is σ = 7817269824. Its totient is φ = 664289280.

The previous prime is 2348672243. The next prime is 2348672257. The reversal of 2348672256 is 6522768432.

2348672256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23486722562 = 11032522732208259072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348672257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1725016 + ... + 1726376.

It is an arithmetic number, because the mean of its divisors is an integer number (36191064).

Almost surely, 22348672256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2348672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908634912).

2348672256 is an abundant number, since it is smaller than the sum of its proper divisors (5468597568).

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

2348672256 is a wasteful number, since it uses less digits than its factorization.

2348672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1480 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2348672256 is about 48463.1020055464. The cubic root of 2348672256 is about 1329.2524594830.

The spelling of 2348672256 in words is "two billion, three hundred forty-eight million, six hundred seventy-two thousand, two hundred fifty-six".