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375150240 = 253252347241
BaseRepresentation
bin10110010111000…
…101011010100000
3222010220121101100
4112113011122200
51232014301430
6101120434400
712203503323
oct2627053240
9863817340
10375150240
11182842a23
12a5778a00
135c9508ba
1437b767ba
1522e05960
hex165c56a0

375150240 has 288 divisors, whose sum is σ = 1369944576. Its totient is φ = 93265920.

The previous prime is 375150227. The next prime is 375150247. The reversal of 375150240 is 42051573.

It is a happy number.

375150240 is a `hidden beast` number, since 375 + 1 + 50 + 240 = 666.

375150240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (375150247) 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 47 ways as a sum of consecutive naturals, for example, 1556520 + ... + 1556760.

It is an arithmetic number, because the mean of its divisors is an integer number (4756752).

Almost surely, 2375150240 is an apocalyptic number.

375150240 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 375150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684972288).

375150240 is an abundant number, since it is smaller than the sum of its proper divisors (994794336).

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

375150240 is a wasteful number, since it uses less digits than its factorization.

375150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 375150240 is about 19368.7955226958. The cubic root of 375150240 is about 721.2210761068.

The spelling of 375150240 in words is "three hundred seventy-five million, one hundred fifty thousand, two hundred forty".