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378113820 = 2235731113257
BaseRepresentation
bin10110100010011…
…000111100011100
3222100111011122120
4112202120330130
51233244120240
6101304142540
712240625440
oct2642307434
9870434576
10378113820
11184487567
12a6767a50
136044a7b6
1438308820
15232ddad0
hex16898f1c

378113820 has 192 divisors, whose sum is σ = 1264951296. Its totient is φ = 82575360.

The previous prime is 378113809. The next prime is 378113821. The reversal of 378113820 is 28311873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378113821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1471132 + ... + 1471388.

It is an arithmetic number, because the mean of its divisors is an integer number (6588288).

Almost surely, 2378113820 is an apocalyptic number.

378113820 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 378113820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632475648).

378113820 is an abundant number, since it is smaller than the sum of its proper divisors (886837476).

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

378113820 is a wasteful number, since it uses less digits than its factorization.

378113820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 378113820 is about 19445.1490094573. The cubic root of 378113820 is about 723.1152440312.

The spelling of 378113820 in words is "three hundred seventy-eight million, one hundred thirteen thousand, eight hundred twenty".