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354320032 = 25114124551
BaseRepresentation
bin10101000111100…
…111111010100000
3220200201022201011
4111013213322200
51211201220112
655054150304
711531446003
oct2507477240
9820638634
10354320032
11172005980
129a7b2394
1358539631
14350b353a
152118daa7
hex151e7ea0

354320032 has 48 divisors (see below), whose sum is σ = 779575104. Its totient is φ = 157120000.

The previous prime is 354320011. The next prime is 354320039. The reversal of 354320032 is 230023453.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 354319985 and 354320012.

It is not an unprimeable number, because it can be changed into a prime (354320039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2157 + ... + 26707.

It is an arithmetic number, because the mean of its divisors is an integer number (16241148).

Almost surely, 2354320032 is an apocalyptic number.

354320032 is a gapful number since it is divisible by the number (32) 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 354320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389787552).

354320032 is an abundant number, since it is smaller than the sum of its proper divisors (425255072).

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

354320032 is a wasteful number, since it uses less digits than its factorization.

354320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24613 (or 24605 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 354320032 is about 18823.3905553702. The cubic root of 354320032 is about 707.6175064850.

Adding to 354320032 its reverse (230023453), we get a palindrome (584343485).

The spelling of 354320032 in words is "three hundred fifty-four million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 14432 24551 49102 98204 196408 270061 392816 540122 785632 1006591 1080244 2013182 2160488 4026364 4320976 8052728 8641952 11072501 16105456 22145002 32210912 44290004 88580008 177160016 354320032