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338864060 = 225172232549
BaseRepresentation
bin10100001100101…
…010011110111100
3212121122002002202
4110030222132330
51143222122220
653343011032
711253203603
oct2414523674
9777562082
10338864060
11164309647
1295599a78
13552875a2
143300ca3a
151eb39275
hex1432a7bc

338864060 has 72 divisors (see below), whose sum is σ = 789112800. Its totient is φ = 121977856.

The previous prime is 338864059. The next prime is 338864117. The reversal of 338864060 is 60468833.

It is a super-2 number, since 2×3388640602 = 229657702319367200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131666 + ... + 134214.

It is an arithmetic number, because the mean of its divisors is an integer number (10959900).

Almost surely, 2338864060 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 338864060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394556400).

338864060 is an abundant number, since it is smaller than the sum of its proper divisors (450248740).

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

338864060 is a wasteful number, since it uses less digits than its factorization.

338864060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 338864060 is about 18408.2606456993. The cubic root of 338864060 is about 697.1750502228.

The spelling of 338864060 in words is "three hundred thirty-eight million, eight hundred sixty-four thousand, sixty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 289 340 391 460 578 782 1156 1445 1564 1955 2549 2890 3910 5098 5780 6647 7820 10196 12745 13294 25490 26588 33235 43333 50980 58627 66470 86666 117254 132940 173332 216665 234508 293135 433330 586270 736661 866660 996659 1172540 1473322 1993318 2946644 3683305 3986636 4983295 7366610 9966590 14733220 16943203 19933180 33886406 67772812 84716015 169432030 338864060