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375422400 = 26325229231
BaseRepresentation
bin10110011000000…
…111110111000000
3222011102102201100
4112120013313000
51232102004100
6101130334400
712206015643
oct2630076700
9864372640
10375422400
11182a09451
12a588a400
135ca17742
1437c07a5a
1522e5b400
hex16607dc0

375422400 has 378 divisors, whose sum is σ = 1426516832. Its totient is φ = 93542400.

The previous prime is 375422389. The next prime is 375422401. The reversal of 375422400 is 4224573.

375422400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375422401) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 12110385 + ... + 12110415.

Almost surely, 2375422400 is an apocalyptic number.

375422400 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 375422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713258416).

375422400 is an abundant number, since it is smaller than the sum of its proper divisors (1051094432).

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

375422400 is a wasteful number, since it uses less digits than its factorization.

375422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 375422400 is about 19375.8199826485. The cubic root of 375422400 is about 721.3954418759.

Adding to 375422400 its reverse (4224573), we get a palindrome (379646973).

The spelling of 375422400 in words is "three hundred seventy-five million, four hundred twenty-two thousand, four hundred".