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378323400 = 23352713341
BaseRepresentation
bin10110100011001…
…100000111001000
3222100212211010210
4112203030013020
51233322322100
6101312441120
712242460450
oct2643140710
9870784123
10378323400
1118460aa74
12a68491a0
13604c2000
1438360d60
1523330c50
hex168cc1c8

378323400 has 384 divisors, whose sum is σ = 1487404800. Its totient is φ = 77875200.

The previous prime is 378323353. The next prime is 378323437. The reversal of 378323400 is 4323873.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9227380 + ... + 9227420.

It is an arithmetic number, because the mean of its divisors is an integer number (3873450).

Almost surely, 2378323400 is an apocalyptic number.

378323400 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 378323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743702400).

378323400 is an abundant number, since it is smaller than the sum of its proper divisors (1109081400).

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

378323400 is a wasteful number, since it uses less digits than its factorization.

378323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 378323400 is about 19450.5372676438. The cubic root of 378323400 is about 723.2488215354.

The spelling of 378323400 in words is "three hundred seventy-eight million, three hundred twenty-three thousand, four hundred".