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4374535680 = 29335193331
BaseRepresentation
bin1000001001011111…
…00001111000000000
3102021212110102211000
410010233201320000
532424340120210
62002025252000
7213255640224
oct40457417000
912255412730
104374535680
111945347449
12a21034000
135493b8668
142d6daa784
151a90a8ac0
hex104be1e00

4374535680 has 320 divisors, whose sum is σ = 16361452800. Its totient is φ = 1104814080.

The previous prime is 4374535673. The next prime is 4374535687. The reversal of 4374535680 is 865354734.

4374535680 is a `hidden beast` number, since 4 + 37 + 4 + 53 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4374535673) and next prime (4374535687).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374535687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311615 + ... + 1314945.

It is an arithmetic number, because the mean of its divisors is an integer number (51129540).

Almost surely, 24374535680 is an apocalyptic number.

4374535680 is a gapful number since it is divisible by the number (40) 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 4374535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180726400).

4374535680 is an abundant number, since it is smaller than the sum of its proper divisors (11986917120).

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

4374535680 is a wasteful number, since it uses less digits than its factorization.

4374535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 4374535680 is about 66140.2727542002. The cubic root of 4374535680 is about 1635.4752931803.

The spelling of 4374535680 in words is "four billion, three hundred seventy-four million, five hundred thirty-five thousand, six hundred eighty".