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352795344 = 2431121923139
BaseRepresentation
bin10101000001110…
…011101011010000
3220120211212020020
4111001303223100
51210303422334
655001343440
711512465566
oct2501635320
9816755206
10352795344
11171164400
129a197b80
1358124655
1434bd7a36
1520e8be49
hex15073ad0

352795344 has 240 divisors, whose sum is σ = 1108262400. Its totient is φ = 96180480.

The previous prime is 352795337. The next prime is 352795393. The reversal of 352795344 is 443597253.

It is a junction number, because it is equal to n+sod(n) for n = 352795296 and 352795305.

It is a congruent number.

It is an unprimeable number.

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, 2538027 + ... + 2538165.

It is an arithmetic number, because the mean of its divisors is an integer number (4617760).

Almost surely, 2352795344 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 352795344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554131200).

352795344 is an abundant number, since it is smaller than the sum of its proper divisors (755467056).

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

352795344 is a wasteful number, since it uses less digits than its factorization.

352795344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 352795344 is about 18782.8470685357. The cubic root of 352795344 is about 706.6010551797.

The spelling of 352795344 in words is "three hundred fifty-two million, seven hundred ninety-five thousand, three hundred forty-four".