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331442432 = 282694813
BaseRepresentation
bin10011110000010…
…110100100000000
3212002200000112122
4103300112210000
51134322124212
652515543412
711133133316
oct2360264400
9762600478
10331442432
111600aa672
1292bbab68
13538894a9
143203a0b6
151e170272
hex13c16900

331442432 has 36 divisors (see below), whose sum is σ = 664187580. Its totient is φ = 165070848.

The previous prime is 331442431. The next prime is 331442437. The reversal of 331442432 is 234244133.

It can be written as a sum of positive squares in 2 ways, for example, as 122235136 + 209207296 = 11056^2 + 14464^2 .

It is not an unprimeable number, because it can be changed into a prime (331442431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66458 + ... + 71270.

It is an arithmetic number, because the mean of its divisors is an integer number (18449655).

Almost surely, 2331442432 is an apocalyptic number.

331442432 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 331442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332093790).

331442432 is an abundant number, since it is smaller than the sum of its proper divisors (332745148).

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

331442432 is an equidigital number, since it uses as much as digits as its factorization.

331442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5084 counting only the distinct ones).

The product of its digits is 6912, while the sum is 26.

The square root of 331442432 is about 18205.5604692632. The cubic root of 331442432 is about 692.0477096312.

Adding to 331442432 its reverse (234244133), we get a palindrome (565686565).

The spelling of 331442432 in words is "three hundred thirty-one million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 269 538 1076 2152 4304 4813 8608 9626 17216 19252 34432 38504 68864 77008 154016 308032 616064 1232128 1294697 2589394 5178788 10357576 20715152 41430304 82860608 165721216 331442432