Search a number
-
+
339819750 = 23253197949
BaseRepresentation
bin10100010000010…
…011110011100110
3212200102122001200
4110100103303212
51143443213000
653415303330
711264264064
oct2420236346
9780378050
10339819750
11164901676
129597ab46
135553059a
14331bb034
151ec77500
hex14413ce6

339819750 has 96 divisors (see below), whose sum is σ = 967356000. Its totient is φ = 85838400.

The previous prime is 339819743. The next prime is 339819761. The reversal of 339819750 is 57918933.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 339819696 and 339819705.

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 47 ways as a sum of consecutive naturals, for example, 38776 + ... + 46724.

It is an arithmetic number, because the mean of its divisors is an integer number (10076625).

Almost surely, 2339819750 is an apocalyptic number.

339819750 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 339819750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483678000).

339819750 is an abundant number, since it is smaller than the sum of its proper divisors (627536250).

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

339819750 is a wasteful number, since it uses less digits than its factorization.

339819750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 339819750 is about 18434.2005522344. The cubic root of 339819750 is about 697.8298436089.

The spelling of 339819750 in words is "three hundred thirty-nine million, eight hundred nineteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 125 150 171 190 225 250 285 342 375 450 475 570 750 855 950 1125 1425 1710 2250 2375 2850 4275 4750 7125 7949 8550 14250 15898 21375 23847 39745 42750 47694 71541 79490 119235 143082 151031 198725 238470 302062 357705 397450 453093 596175 715410 755155 906186 993625 1192350 1359279 1510310 1788525 1987250 2265465 2718558 2980875 3577050 3775775 4530930 5961750 6796395 7551550 8942625 11327325 13592790 17885250 18878875 22654650 33981975 37757750 56636625 67963950 113273250 169909875 339819750