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352120320 = 29325172931
BaseRepresentation
bin10100111111001…
…110111000000000
3220112120120021100
4110333032320000
51210120322240
654535054400
711503654566
oct2477167000
9815516240
10352120320
11170843232
1299b11400
1357c49326
1434a9da36
1520da6e30
hex14fcee00

352120320 has 480 divisors, whose sum is σ = 1378840320. Its totient is φ = 82575360.

The previous prime is 352120253. The next prime is 352120333. The reversal of 352120320 is 23021253.

352120320 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 352120293 and 352120302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11358705 + ... + 11358735.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2352120320 is an apocalyptic number.

352120320 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 352120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689420160).

352120320 is an abundant number, since it is smaller than the sum of its proper divisors (1026720000).

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

352120320 is a wasteful number, since it uses less digits than its factorization.

352120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 352120320 is about 18764.8693041012. The cubic root of 352120320 is about 706.1501070506.

Adding to 352120320 its reverse (23021253), we get a palindrome (375141573).

The spelling of 352120320 in words is "three hundred fifty-two million, one hundred twenty thousand, three hundred twenty".