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378836640 = 25325731359
BaseRepresentation
bin10110100101001…
…001011010100000
3222101211220011200
4112211021122200
51233440233030
6101331441200
712250026000
oct2645113240
9871756150
10378836640
11184930636
12a6a56200
13606417c0
1438456000
15233d2d60
hex169496a0

378836640 has 576 divisors, whose sum is σ = 1651104000. Its totient is φ = 78575616.

The previous prime is 378836629. The next prime is 378836641. The reversal of 378836640 is 46638873.

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 (378836641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6420931 + ... + 6420989.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2378836640 is an apocalyptic number.

378836640 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 378836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

378836640 is an abundant number, since it is smaller than the sum of its proper divisors (1272267360).

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

378836640 is a wasteful number, since it uses less digits than its factorization.

378836640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 378836640 is about 19463.7262619469. The cubic root of 378836640 is about 723.5757309932.

The spelling of 378836640 in words is "three hundred seventy-eight million, eight hundred thirty-six thousand, six hundred forty".