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353020152 = 233191574931
BaseRepresentation
bin10101000010101…
…010100011111000
3220121021021121110
4111002222203320
51210333121102
655010240320
711514423162
oct2502524370
9817237543
10353020152
111712a82a1
129a2860a0
13581a2a84
1434c55932
1520ed386c
hex150aa8f8

353020152 has 64 divisors (see below), whose sum is σ = 935107200. Its totient is φ = 110747520.

The previous prime is 353020139. The next prime is 353020177. The reversal of 353020152 is 251020353.

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 15 ways as a sum of consecutive naturals, for example, 69127 + ... + 74057.

It is an arithmetic number, because the mean of its divisors is an integer number (14611050).

Almost surely, 2353020152 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 353020152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467553600).

353020152 is an abundant number, since it is smaller than the sum of its proper divisors (582087048).

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

353020152 is a wasteful number, since it uses less digits than its factorization.

353020152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 353020152 is about 18788.8305117695. The cubic root of 353020152 is about 706.7511099201.

The spelling of 353020152 in words is "three hundred fifty-three million, twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 157 228 314 456 471 628 942 1256 1884 2983 3768 4931 5966 8949 9862 11932 14793 17898 19724 23864 29586 35796 39448 59172 71592 93689 118344 187378 281067 374756 562134 749512 774167 1124268 1548334 2248536 2322501 3096668 4645002 6193336 9290004 14709173 18580008 29418346 44127519 58836692 88255038 117673384 176510076 353020152