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339222420 = 223251726521
BaseRepresentation
bin10100001110000…
…001111110010100
3212122022021200100
4110032001332110
51143320104140
653354414100
711256225435
oct2416017624
9778267610
10339222420
11164533909
1295731330
1355381734
14330a348c
151ebaa530
hex14381f94

339222420 has 108 divisors (see below), whose sum is σ = 1093230684. Its totient is φ = 85125120.

The previous prime is 339222391. The next prime is 339222427. The reversal of 339222420 is 24222933.

It can be written as a sum of positive squares in 6 ways, for example, as 72488196 + 266734224 = 8514^2 + 16332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339222427) 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 35 ways as a sum of consecutive naturals, for example, 48760 + ... + 55280.

Almost surely, 2339222420 is an apocalyptic number.

339222420 is a gapful number since it is divisible by the number (30) 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 339222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546615342).

339222420 is an abundant number, since it is smaller than the sum of its proper divisors (754008264).

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

339222420 is a wasteful number, since it uses less digits than its factorization.

339222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 339222420 is about 18417.9917472020. The cubic root of 339222420 is about 697.4207255647.

The spelling of 339222420 in words is "three hundred thirty-nine million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 6521 8670 10404 13005 13042 17340 19563 26010 26084 32605 39126 52020 58689 65210 78252 97815 110857 117378 130420 195630 221714 234756 293445 332571 391260 443428 554285 586890 665142 997713 1108570 1173780 1330284 1662855 1884569 1995426 2217140 3325710 3769138 3990852 4988565 5653707 6651420 7538276 9422845 9977130 11307414 16961121 18845690 19954260 22614828 28268535 33922242 37691380 56537070 67844484 84805605 113074140 169611210 339222420