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31442432 = 29731283
BaseRepresentation
bin111011111110…
…0011000000000
32012011102220112
41313330120000
531022124212
63041530452
7531153620
oct167743000
965142815
1031442432
111682618a
12a643a28
13668b6b8
144266880
152b61422
hex1dfc600

31442432 has 80 divisors (see below), whose sum is σ = 74376192. Its totient is φ = 12994560.

The previous prime is 31442431. The next prime is 31442441. The reversal of 31442432 is 23424413.

It is a junction number, because it is equal to n+sod(n) for n = 31442398 and 31442407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31442431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110963 + ... + 111245.

Almost surely, 231442432 is an apocalyptic number.

31442432 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 31442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37188096).

31442432 is an abundant number, since it is smaller than the sum of its proper divisors (42933760).

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

31442432 is an equidigital number, since it uses as much as digits as its factorization.

31442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its digits is 2304, while the sum is 23.

The square root of 31442432 is about 5607.3551697748. The cubic root of 31442432 is about 315.6254709270.

Adding to 31442432 its reverse (23424413), we get a palindrome (54866845).

The spelling of 31442432 in words is "thirty-one million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 283 434 448 496 512 566 868 896 992 1132 1736 1792 1981 1984 2264 3472 3584 3962 3968 4528 6944 7924 7936 8773 9056 13888 15848 15872 17546 18112 27776 31696 35092 36224 55552 61411 63392 70184 72448 111104 122822 126784 140368 144896 245644 253568 280736 491288 507136 561472 982576 1014272 1122944 1965152 2245888 3930304 4491776 7860608 15721216 31442432