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378820260 = 223357132593
BaseRepresentation
bin10110100101000…
…101011010100100
3222101211001201000
4112211011122210
51233434222020
6101331233300
712246630150
oct2645053244
9871731630
10378820260
1118491a2a5
12a6a48830
1360637200
1438450060
15233cd090
hex169456a4

378820260 has 288 divisors, whose sum is σ = 1460954880. Its totient is φ = 79792128.

The previous prime is 378820241. The next prime is 378820283. The reversal of 378820260 is 62028873.

It is a happy number.

378820260 is a `hidden beast` number, since 378 + 8 + 20 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638524 + ... + 639116.

It is an arithmetic number, because the mean of its divisors is an integer number (5072760).

Almost surely, 2378820260 is an apocalyptic number.

378820260 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 378820260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730477440).

378820260 is an abundant number, since it is smaller than the sum of its proper divisors (1082134620).

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

378820260 is a wasteful number, since it uses less digits than its factorization.

378820260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 378820260 is about 19463.3054746618. The cubic root of 378820260 is about 723.5653022753.

The spelling of 378820260 in words is "three hundred seventy-eight million, eight hundred twenty thousand, two hundred sixty".