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3674444256 = 253374371199
BaseRepresentation
bin1101101100000011…
…1001000111100000
3100111002010002221000
43123000321013200
530011124204011
61404340032000
7160025155320
oct33300710740
910432102830
103674444256
11161614539a
12866692600
13467346792
1426c00b280
151678b9356
hexdb0391e0

3674444256 has 384 divisors, whose sum is σ = 12773376000. Its totient is φ = 1005903360.

The previous prime is 3674444201. The next prime is 3674444297. The reversal of 3674444256 is 6524444763.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18464445 + ... + 18464643.

It is an arithmetic number, because the mean of its divisors is an integer number (33264000).

Almost surely, 23674444256 is an apocalyptic number.

3674444256 is a gapful number since it is divisible by the number (36) 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 3674444256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386688000).

3674444256 is an abundant number, since it is smaller than the sum of its proper divisors (9098931744).

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

3674444256 is a wasteful number, since it uses less digits than its factorization.

3674444256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The square root of 3674444256 is about 60617.1943923504. The cubic root of 3674444256 is about 1543.1111916754. Note that the first 4 decimals are identical.

The spelling of 3674444256 in words is "three billion, six hundred seventy-four million, four hundred forty-four thousand, two hundred fifty-six".