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34322328 = 23323131523
BaseRepresentation
bin1000001011101…
…1011110011000
32101120202101100
42002323132120
532241303303
63223351400
7564510045
oct202733630
971522340
1034322328
1118412967
12b5b2560
137159491
1447b61cc
15302e8a3
hex20bb798

34322328 has 48 divisors (see below), whose sum is σ = 93314520. Its totient is φ = 11396736.

The previous prime is 34322317. The next prime is 34322329. The reversal of 34322328 is 82322343.

34322328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34322329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21775 + ... + 23297.

Almost surely, 234322328 is an apocalyptic number.

It is an amenable number.

34322328 is an abundant number, since it is smaller than the sum of its proper divisors (58992192).

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

34322328 is a wasteful number, since it uses less digits than its factorization.

34322328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1841 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 34322328 is about 5858.5260945053. The cubic root of 34322328 is about 324.9817046900.

The spelling of 34322328 in words is "thirty-four million, three hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 313 626 939 1252 1523 1878 2504 2817 3046 3756 4569 5634 6092 7512 9138 11268 12184 13707 18276 22536 27414 36552 54828 109656 476699 953398 1430097 1906796 2860194 3813592 4290291 5720388 8580582 11440776 17161164 34322328