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374384640 = 2113571741
BaseRepresentation
bin10110010100001…
…010100000000000
3222002110201011210
4112110022200000
51231320302030
6101052210120
712164134260
oct2624124000
9862421153
10374384640
1118236a7a3
12a5469940
135c743296
1437a177a0
1522d03bb0
hex1650a800

374384640 has 192 divisors, whose sum is σ = 1369630080. Its totient is φ = 85524480.

The previous prime is 374384627. The next prime is 374384651. The reversal of 374384640 is 46483473.

374384640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214170 + ... + 215910.

It is an arithmetic number, because the mean of its divisors is an integer number (7133490).

Almost surely, 2374384640 is an apocalyptic number.

374384640 is a gapful number since it is divisible by the number (30) 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 374384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684815040).

374384640 is an abundant number, since it is smaller than the sum of its proper divisors (995245440).

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

374384640 is a wasteful number, since it uses less digits than its factorization.

374384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 374384640 is about 19349.0216806949. The cubic root of 374384640 is about 720.7301235578.

The spelling of 374384640 in words is "three hundred seventy-four million, three hundred eighty-four thousand, six hundred forty".