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342440032 = 25113726293
BaseRepresentation
bin10100011010010…
…011100001100000
3212212100202102011
4110122103201200
51200131040112
653551402304
711325456304
oct2432234140
9785322364
10342440032
111663312a0
1296823394
1355c3a14c
143369dd04
15200e3aa7
hex14693860

342440032 has 48 divisors (see below), whose sum is σ = 755374032. Its totient is φ = 151441920.

The previous prime is 342440011. The next prime is 342440047. The reversal of 342440032 is 230044243.

It is a super-2 number, since 2×3424400322 = 234530351032322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 342439985 and 342440012.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 123 + ... + 26170.

It is an arithmetic number, because the mean of its divisors is an integer number (15736959).

Almost surely, 2342440032 is an apocalyptic number.

342440032 is a gapful number since it is divisible by the number (32) 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 342440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377687016).

342440032 is an abundant number, since it is smaller than the sum of its proper divisors (412934000).

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

342440032 is a wasteful number, since it uses less digits than its factorization.

342440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26351 (or 26343 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 342440032 is about 18505.1352872655. The cubic root of 342440032 is about 699.6188619022.

Adding to 342440032 its reverse (230044243), we get a palindrome (572484275).

The spelling of 342440032 in words is "three hundred forty-two million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 3256 6512 13024 26293 52586 105172 210344 289223 420688 578446 841376 972841 1156892 1945682 2313784 3891364 4627568 7782728 9255136 10701251 15565456 21402502 31130912 42805004 85610008 171220016 342440032