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322428324 = 2231771113197
BaseRepresentation
bin10011001101111…
…101110110100100
3211110201001111210
4103031331312210
51130020201244
651554431420
710663411161
oct2315756644
9743631453
10322428324
11156003199
128bb92570
1351a515ba
1430b71068
151d48e4b9
hex1337dda4

322428324 has 96 divisors (see below), whose sum is σ = 819092736. Its totient is φ = 98344960.

The previous prime is 322428299. The next prime is 322428331. The reversal of 322428324 is 423824223.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 322428291 and 322428300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1636594 + ... + 1636790.

It is an arithmetic number, because the mean of its divisors is an integer number (8532216).

Almost surely, 2322428324 is an apocalyptic number.

322428324 is a gapful number since it is divisible by the number (34) 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 322428324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409546368).

322428324 is an abundant number, since it is smaller than the sum of its proper divisors (496664412).

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

322428324 is a wasteful number, since it uses less digits than its factorization.

322428324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 322428324 is about 17956.2892603121. The cubic root of 322428324 is about 685.7161771029.

The spelling of 322428324 in words is "three hundred twenty-two million, four hundred twenty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 113 142 197 204 213 226 284 339 394 426 452 591 678 788 852 1182 1207 1356 1921 2364 2414 3349 3621 3842 4828 5763 6698 7242 7684 8023 10047 11526 13396 13987 14484 16046 20094 22261 23052 24069 27974 32092 40188 41961 44522 48138 55948 66783 83922 89044 96276 133566 136391 167844 237779 267132 272782 378437 409173 475558 545564 713337 756874 818346 951116 1135311 1426674 1513748 1580531 1636692 2270622 2853348 3161062 4541244 4741593 6322124 9483186 18966372 26869027 53738054 80607081 107476108 161214162 322428324