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342432240 = 24351426801
BaseRepresentation
bin10100011010010…
…001100111110000
3212212100100201120
4110122101213300
51200130312430
653551302240
711325424503
oct2432214760
9785310646
10342432240
11166326457
129681a980
1355c36737
143369b13a
15200e1610
hex146919f0

342432240 has 40 divisors (see below), whose sum is σ = 1061540688. Its totient is φ = 91315200.

The previous prime is 342432179. The next prime is 342432281. The reversal of 342432240 is 42234243.

342432240 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 342432240.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 713161 + ... + 713640.

Almost surely, 2342432240 is an apocalyptic number.

342432240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342432240 is an abundant number, since it is smaller than the sum of its proper divisors (719108448).

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

342432240 is a wasteful number, since it uses less digits than its factorization.

342432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426817 (or 1426811 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 342432240 is about 18504.9247499145. The cubic root of 342432240 is about 699.6135554047.

Adding to 342432240 its reverse (42234243), we get a palindrome (384666483).

The spelling of 342432240 in words is "three hundred forty-two million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1426801 2853602 4280403 5707204 7134005 8560806 11414408 14268010 17121612 21402015 22828816 28536020 34243224 42804030 57072040 68486448 85608060 114144080 171216120 342432240