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342432432 = 24327133493
BaseRepresentation
bin10100011010010…
…001101010110000
3212212100100222200
4110122101222300
51200130314212
653551303200
711325425166
oct2432215260
9785310880
10342432432
11166326611
129681ab00
1355c36854
143369b236
15200e16dc
hex14691ab0

342432432 has 60 divisors (see below), whose sum is σ = 971861904. Its totient is φ = 112533120.

The previous prime is 342432403. The next prime is 342432437. The reversal of 342432432 is 234234243.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 342432396 and 342432405.

It is not an unprimeable number, because it can be changed into a prime (342432437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6523 + ... + 26970.

Almost surely, 2342432432 is an apocalyptic number.

It is an amenable number.

342432432 is an abundant number, since it is smaller than the sum of its proper divisors (629429472).

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

342432432 is a wasteful number, since it uses less digits than its factorization.

342432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33578 (or 33569 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 342432432 is about 18504.9299377220. The cubic root of 342432432 is about 699.6136861613.

Adding to 342432432 its reverse (234234243), we get a palindrome (576666675).

The spelling of 342432432 in words is "three hundred forty-two million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 33493 66986 100479 133972 200958 267944 301437 401916 535888 602874 803832 1205748 1607664 2378003 2411496 4756006 4822992 7134009 9512012 14268018 19024024 21402027 28536036 38048048 42804054 57072072 85608108 114144144 171216216 342432432