Search a number
-
+
350012304 = 243237179367
BaseRepresentation
bin10100110111001…
…100001110010000
3220101121110121200
4110313030032100
51204100343204
654421551200
711450025015
oct2467141620
9811543550
10350012304
1116a633474
1299275500
135768b995
14346b170c
1520adc539
hex14dcc390

350012304 has 120 divisors (see below), whose sum is σ = 1014399360. Its totient is φ = 112575744.

The previous prime is 350012293. The next prime is 350012317. The reversal of 350012304 is 403210053.

350012304 is a `hidden beast` number, since 350 + 0 + 12 + 304 = 666.

It is a super-2 number, since 2×3500123042 = 245017225902776832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 953529 + ... + 953895.

It is an arithmetic number, because the mean of its divisors is an integer number (8453328).

Almost surely, 2350012304 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 350012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507199680).

350012304 is an abundant number, since it is smaller than the sum of its proper divisors (664387056).

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

350012304 is a wasteful number, since it uses less digits than its factorization.

350012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 350012304 is about 18708.6157692118. The cubic root of 350012304 is about 704.7381312015.

Adding to 350012304 its reverse (403210053), we get a palindrome (753222357).

The spelling of 350012304 in words is "three hundred fifty million, twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 179 222 296 333 358 367 444 537 592 666 716 734 888 1074 1101 1332 1432 1468 1611 1776 2148 2202 2664 2864 2936 3222 3303 4296 4404 5328 5872 6444 6606 6623 8592 8808 12888 13212 13246 13579 17616 19869 25776 26424 26492 27158 39738 40737 52848 52984 54316 59607 65693 79476 81474 105968 108632 119214 122211 131386 158952 162948 197079 217264 238428 244422 262772 317904 325896 394158 476856 488844 525544 591237 651792 788316 953712 977688 1051088 1182474 1576632 1955376 2364948 2430641 3153264 4729896 4861282 7291923 9459792 9722564 14583846 19445128 21875769 29167692 38890256 43751538 58335384 87503076 116670768 175006152 350012304