Search a number
-
+
339483870 = 2325111392467
BaseRepresentation
bin10100001111000…
…001110011011110
3212122210120022200
4110033001303132
51143401440440
653404152330
711261364615
oct2417016336
9778716280
10339483870
111646a2290
12958386a6
135544373b
143313087c
151ec0cc30
hex143c1cde

339483870 has 96 divisors (see below), whose sum is σ = 970220160. Its totient is φ = 81673920.

The previous prime is 339483857. The next prime is 339483871. The reversal of 339483870 is 78384933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339483871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136377 + ... + 138843.

It is an arithmetic number, because the mean of its divisors is an integer number (10106460).

Almost surely, 2339483870 is an apocalyptic number.

339483870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 339483870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485110080).

339483870 is an abundant number, since it is smaller than the sum of its proper divisors (630736290).

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

339483870 is a wasteful number, since it uses less digits than its factorization.

339483870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 339483870 is about 18425.0880594911. The cubic root of 339483870 is about 697.5998546677.

The spelling of 339483870 in words is "three hundred thirty-nine million, four hundred eighty-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 139 165 198 278 330 417 495 695 834 990 1251 1390 1529 2085 2467 2502 3058 4170 4587 4934 6255 7401 7645 9174 12335 12510 13761 14802 15290 22203 22935 24670 27137 27522 37005 44406 45870 54274 68805 74010 81411 111015 135685 137610 162822 222030 244233 271370 342913 407055 488466 685826 814110 1028739 1221165 1714565 2057478 2442330 3086217 3429130 3772043 5143695 6172434 7544086 10287390 11316129 15431085 18860215 22632258 30862170 33948387 37720430 56580645 67896774 113161290 169741935 339483870