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353342144 = 2617324763
BaseRepresentation
bin10101000011111…
…001001011000000
3220121212122022002
4111003321023000
51210423422034
655021203132
711520234011
oct2503711300
9817778262
10353342144
111714a8201
129a4004a8
13582864bc
1434cdb008
1521048e7e
hex150f92c0

353342144 has 28 divisors (see below), whose sum is σ = 742410504. Its totient is φ = 166278144.

The previous prime is 353342131. The next prime is 353342147. The reversal of 353342144 is 441243353.

It is a super-4 number, since 4×3533421444 (a number of 35 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (353342147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161294 + ... + 163469.

Almost surely, 2353342144 is an apocalyptic number.

353342144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

353342144 is an abundant number, since it is smaller than the sum of its proper divisors (389068360).

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

353342144 is a wasteful number, since it uses less digits than its factorization.

353342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324792 (or 324782 counting only the distinct ones).

The product of its digits is 17280, while the sum is 29.

The square root of 353342144 is about 18797.3972666431. The cubic root of 353342144 is about 706.9659220664.

Adding to 353342144 its reverse (441243353), we get a palindrome (794585497).

The spelling of 353342144 in words is "three hundred fifty-three million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 324763 649526 1299052 2598104 5196208 5520971 10392416 11041942 20784832 22083884 44167768 88335536 176671072 353342144