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339642396 = 223497101107
BaseRepresentation
bin10100001111101…
…000100000011100
3212200002121210000
4110033220200130
51143422024041
653411414300
711262625032
oct2417504034
9780077700
10339642396
111647a03a5
12958b4390
135549a942
1433172552
151ec3ebb6
hex143e881c

339642396 has 120 divisors (see below), whose sum is σ = 914394096. Its totient is φ = 109900800.

The previous prime is 339642383. The next prime is 339642419. The reversal of 339642396 is 693246933.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3174175 + ... + 3174281.

Almost surely, 2339642396 is an apocalyptic number.

339642396 is a gapful number since it is divisible by the number (36) 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 339642396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457197048).

339642396 is an abundant number, since it is smaller than the sum of its proper divisors (574751700).

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

339642396 is a wasteful number, since it uses less digits than its factorization.

339642396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The square root of 339642396 is about 18429.3894635715. The cubic root of 339642396 is about 697.7084219325.

The spelling of 339642396 in words is "three hundred thirty-nine million, six hundred forty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 101 107 108 162 194 202 214 291 303 321 324 388 404 428 582 606 642 873 909 963 1164 1212 1284 1746 1818 1926 2619 2727 2889 3492 3636 3852 5238 5454 5778 7857 8181 8667 9797 10379 10476 10807 10908 11556 15714 16362 17334 19594 20758 21614 29391 31137 31428 32421 32724 34668 39188 41516 43228 58782 62274 64842 88173 93411 97263 117564 124548 129684 176346 186822 194526 264519 280233 291789 352692 373644 389052 529038 560466 583578 793557 840699 875367 1048279 1058076 1120932 1167156 1587114 1681398 1750734 2096558 3144837 3174228 3362796 3501468 4193116 6289674 9434511 12579348 18869022 28303533 37738044 56607066 84910599 113214132 169821198 339642396