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353229240 = 233572134621
BaseRepresentation
bin10101000011011…
…101100110111000
3220121122220102110
4111003131212320
51210411313430
655014532320
711516253600
oct2503354670
9817586373
10353229240
111714303a1
129a3670a0
1358246cb0
1434cabc00
15210257b0
hex150dd9b8

353229240 has 192 divisors, whose sum is σ = 1327808160. Its totient is φ = 74511360.

The previous prime is 353229229. The next prime is 353229241. The reversal of 353229240 is 42922353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 353229198 and 353229207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353229241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74130 + ... + 78750.

Almost surely, 2353229240 is an apocalyptic number.

353229240 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 353229240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663904080).

353229240 is an abundant number, since it is smaller than the sum of its proper divisors (974578920).

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

353229240 is a wasteful number, since it uses less digits than its factorization.

353229240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 353229240 is about 18794.3938449741. The cubic root of 353229240 is about 706.8906147145.

The spelling of 353229240 in words is "three hundred fifty-three million, two hundred twenty-nine thousand, two hundred forty".