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354142240 = 2552213389
BaseRepresentation
bin10101000110111…
…100100000100000
3220200101021211021
4111012330200200
51211130022430
655050255224
711530105444
oct2506744040
9820337737
10354142240
111719a4341
129a727514
13584a672a
1435068824
152115607a
hex151bc820

354142240 has 24 divisors (see below), whose sum is σ = 836661420. Its totient is φ = 141656832.

The previous prime is 354142219. The next prime is 354142289. The reversal of 354142240 is 42241453.

It is a happy number.

354142240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 350887824 + 3254416 = 18732^2 + 1804^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1106535 + ... + 1106854.

Almost surely, 2354142240 is an apocalyptic number.

It is an amenable number.

354142240 is an abundant number, since it is smaller than the sum of its proper divisors (482519180).

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

354142240 is a wasteful number, since it uses less digits than its factorization.

354142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213404 (or 2213396 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 354142240 is about 18818.6673279486. The cubic root of 354142240 is about 707.4991297171.

Adding to 354142240 its reverse (42241453), we get a palindrome (396383693).

The spelling of 354142240 in words is "three hundred fifty-four million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2213389 4426778 8853556 11066945 17707112 22133890 35414224 44267780 70828448 88535560 177071120 354142240