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375145344 = 273571723
BaseRepresentation
bin10110010111000…
…100001110000000
3222010220100200000
4112113010032000
51232014122334
6101120400000
712203453130
oct2627041600
9863810600
10375145344
1118283a282
12a5776000
135c94b5c2
1437b74ac0
1522e04299
hex165c4380

375145344 has 192 divisors, whose sum is σ = 1280173440. Its totient is φ = 107122176.

The previous prime is 375145343. The next prime is 375145369. The reversal of 375145344 is 443541573.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 375145299 and 375145308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375145343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216867 + ... + 218589.

It is an arithmetic number, because the mean of its divisors is an integer number (6667570).

Almost surely, 2375145344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640086720).

375145344 is an abundant number, since it is smaller than the sum of its proper divisors (905028096).

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

375145344 is an equidigital number, since it uses as much as digits as its factorization.

375145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1735 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 375145344 is about 19368.6691334227. The cubic root of 375145344 is about 721.2179385961.

The spelling of 375145344 in words is "three hundred seventy-five million, one hundred forty-five thousand, three hundred forty-four".