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332402016 = 25322315527
BaseRepresentation
bin10011110100000…
…000110101100000
3212011110202211210
4103310000311200
51140043331031
652552310120
711144241042
oct2364006540
9764422753
10332402016
111606a5611
12933a2340
1353b341ab
1432209a92
151e2ae746
hex13d00d60

332402016 has 48 divisors (see below), whose sum is σ = 876524544. Its totient is φ = 110296704.

The previous prime is 332401991. The next prime is 332402023. The reversal of 332402016 is 610204233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3324020162 = 220982200481728512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332401983 and 332402001.

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, 13645 + ... + 29171.

It is an arithmetic number, because the mean of its divisors is an integer number (18260928).

Almost surely, 2332402016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438262272).

332402016 is an abundant number, since it is smaller than the sum of its proper divisors (544122528).

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

332402016 is a wasteful number, since it uses less digits than its factorization.

332402016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15763 (or 15755 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 332402016 is about 18231.8955679326. The cubic root of 332402016 is about 692.7149326541.

Adding to 332402016 its reverse (610204233), we get a palindrome (942606249).

The spelling of 332402016 in words is "three hundred thirty-two million, four hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3568 5352 7136 10704 15527 21408 31054 46581 62108 93162 124216 186324 248432 372648 496864 745296 1490592 3462521 6925042 10387563 13850084 20775126 27700168 41550252 55400336 83100504 110800672 166201008 332402016