Search a number
-
+
339305364 = 2232531631091
BaseRepresentation
bin10100001110010…
…110001110010100
3212122110111110100
4110032112032110
51143330232424
653400254100
711260022316
oct2416261624
9778414410
10339305364
11164590162
1295771330
13553b0408
14330c57b6
151ebc4dc9
hex14396394

339305364 has 72 divisors (see below), whose sum is σ = 880038432. Its totient is φ = 110185920.

The previous prime is 339305293. The next prime is 339305399. The reversal of 339305364 is 463503933.

339305364 is a `hidden beast` number, since 33 + 93 + 0 + 536 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 310459 + ... + 311549.

It is an arithmetic number, because the mean of its divisors is an integer number (12222756).

Almost surely, 2339305364 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 339305364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440019216).

339305364 is an abundant number, since it is smaller than the sum of its proper divisors (540733068).

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

339305364 is a wasteful number, since it uses less digits than its factorization.

339305364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

The square root of 339305364 is about 18420.2433208685. The cubic root of 339305364 is about 697.4775635439.

The spelling of 339305364 in words is "three hundred thirty-nine million, three hundred five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 163 212 318 326 477 489 636 652 954 978 1091 1467 1908 1956 2182 2934 3273 4364 5868 6546 8639 9819 13092 17278 19638 25917 34556 39276 51834 57823 77751 103668 115646 155502 173469 177833 231292 311004 346938 355666 520407 533499 693876 711332 1040814 1066998 1600497 2081628 2133996 3200994 6401988 9425149 18850298 28275447 37700596 56550894 84826341 113101788 169652682 339305364