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354251424 = 2533690119
BaseRepresentation
bin10101000111010…
…111001010100000
3220200120211121010
4111013113022200
51211142021144
655052500520
711531041662
oct2507271240
9820524533
10354251424
11171a6937a
129a77a740
1358514337
1435096532
15211785b9
hex151d72a0

354251424 has 24 divisors (see below), whose sum is σ = 929910240. Its totient is φ = 118083776.

The previous prime is 354251413. The next prime is 354251453. The reversal of 354251424 is 424152453.

354251424 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 (24).

It is a super-3 number, since 3×3542514243 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354251391 and 354251400.

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 3 ways as a sum of consecutive naturals, for example, 1844964 + ... + 1845155.

It is an arithmetic number, because the mean of its divisors is an integer number (38746260).

Almost surely, 2354251424 is an apocalyptic number.

It is an amenable number.

354251424 is an abundant number, since it is smaller than the sum of its proper divisors (575658816).

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

354251424 is a wasteful number, since it uses less digits than its factorization.

354251424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690132 (or 3690124 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 354251424 is about 18821.5680536984. The cubic root of 354251424 is about 707.5718308703.

The spelling of 354251424 in words is "three hundred fifty-four million, two hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3690119 7380238 11070357 14760476 22140714 29520952 44281428 59041904 88562856 118083808 177125712 354251424