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4313045376 = 273223315989
BaseRepresentation
bin1000000010001001…
…11101100110000000
3102010120202101222100
410001010331212000
532313114423001
61551551310400
7211611165213
oct40104754600
912116671870
104313045376
111913668912
12a0451b400
13539739273
142ccb6177a
151a39ae586
hex10113d980

4313045376 has 384 divisors, whose sum is σ = 13747968000. Its totient is φ = 1293557760.

The previous prime is 4313045357. The next prime is 4313045411. The reversal of 4313045376 is 6735403134.

4313045376 is a `hidden beast` number, since 4 + 3 + 130 + 453 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4313045376.

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 47 ways as a sum of consecutive naturals, for example, 48461140 + ... + 48461228.

It is an arithmetic number, because the mean of its divisors is an integer number (35802000).

Almost surely, 24313045376 is an apocalyptic number.

4313045376 is a gapful number since it is divisible by the number (46) 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 4313045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873984000).

4313045376 is an abundant number, since it is smaller than the sum of its proper divisors (9434922624).

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

4313045376 is a wasteful number, since it uses less digits than its factorization.

4313045376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 4313045376 is about 65673.7799734415. The cubic root of 4313045376 is about 1627.7761304572.

The spelling of 4313045376 in words is "four billion, three hundred thirteen million, forty-five thousand, three hundred seventy-six".