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378742500 = 22335431181
BaseRepresentation
bin10110100100110…
…010011011100100
3222101200010001000
4112210302123210
51233424230000
6101325433300
712246154353
oct2644623344
9871603030
10378742500
11184876934
12a6a0b830
136060a9b6
143842d99a
15233b5000
hex169326e4

378742500 has 240 divisors, whose sum is σ = 1273592320. Its totient is φ = 97200000.

The previous prime is 378742493. The next prime is 378742517. The reversal of 378742500 is 5247873.

378742500 is a `hidden beast` number, since 37 + 87 + 42 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2092410 + ... + 2092590.

Almost surely, 2378742500 is an apocalyptic number.

378742500 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 378742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636796160).

378742500 is an abundant number, since it is smaller than the sum of its proper divisors (894849820).

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

378742500 is a wasteful number, since it uses less digits than its factorization.

378742500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 378742500 is about 19461.3077669513. The cubic root of 378742500 is about 723.5157904144.

The spelling of 378742500 in words is "three hundred seventy-eight million, seven hundred forty-two thousand, five hundred".