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332944344 = 2334618423
BaseRepresentation
bin10011110110000…
…101001111011000
3212012111022210000
4103312011033120
51140213204334
653012053000
711151660135
oct2366051730
9765438700
10332944344
11160a36017
1293604160
1353c93cb5
143230b58c
151e36a299
hex13d853d8

332944344 has 80 divisors (see below), whose sum is σ = 947952720. Its totient is φ = 109149120.

The previous prime is 332944333. The next prime is 332944351. The reversal of 332944344 is 443449233.

It is a happy number.

332944344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3329443442 = 221703872403180672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 332944299 and 332944308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35317 + ... + 43739.

It is an arithmetic number, because the mean of its divisors is an integer number (11849409).

Almost surely, 2332944344 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 332944344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473976360).

332944344 is an abundant number, since it is smaller than the sum of its proper divisors (615008376).

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

332944344 is a wasteful number, since it uses less digits than its factorization.

332944344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 8489 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 332944344 is about 18246.7625621643. The cubic root of 332944344 is about 693.0914592283.

The spelling of 332944344 in words is "three hundred thirty-two million, nine hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2196 3294 4392 4941 6588 8423 9882 13176 16846 19764 25269 33692 39528 50538 67384 75807 101076 151614 202152 227421 303228 454842 513803 606456 682263 909684 1027606 1364526 1541409 1819368 2055212 2729052 3082818 4110424 4624227 5458104 6165636 9248454 12331272 13872681 18496908 27745362 36993816 41618043 55490724 83236086 110981448 166472172 332944344