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378490800 = 24352315409
BaseRepresentation
bin10110100011110…
…100111110110000
3222101012022202210
4112203310332300
51233343201200
6101320212120
712244055502
oct2643647660
9871168683
10378490800
11184714816
12a690a040
136055026c
14383a5d72
1523365650
hex168f4fb0

378490800 has 60 divisors (see below), whose sum is σ = 1212436040. Its totient is φ = 100930560.

The previous prime is 378490793. The next prime is 378490807. The reversal of 378490800 is 8094873.

It is an interprime number because it is at equal distance from previous prime (378490793) and next prime (378490807).

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (378490807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156505 + ... + 158904.

Almost surely, 2378490800 is an apocalyptic number.

378490800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378490800 is an abundant number, since it is smaller than the sum of its proper divisors (833945240).

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

378490800 is a wasteful number, since it uses less digits than its factorization.

378490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315430 (or 315419 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 378490800 is about 19454.8400147624. The cubic root of 378490800 is about 723.3554798423.

The spelling of 378490800 in words is "three hundred seventy-eight million, four hundred ninety thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 315409 630818 946227 1261636 1577045 1892454 2523272 3154090 3784908 4731135 5046544 6308180 7569816 7885225 9462270 12616360 15139632 15770450 18924540 23655675 25232720 31540900 37849080 47311350 63081800 75698160 94622700 126163600 189245400 378490800