Search a number
-
+
350052864 = 293724651
BaseRepresentation
bin10100110111010…
…110001000000000
3220101200112020220
4110313112020000
51204103142424
654422503040
711450254200
oct2467261000
9811615226
10350052864
1116a660997
1299294a80
13576a4295
14346c2400
1520ae9579
hex14dd6200

350052864 has 120 divisors (see below), whose sum is σ = 1085051088. Its totient is φ = 99993600.

The previous prime is 350052853. The next prime is 350052877. The reversal of 350052864 is 468250053.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72939 + ... + 77589.

Almost surely, 2350052864 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 350052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542525544).

350052864 is an abundant number, since it is smaller than the sum of its proper divisors (734998224).

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

350052864 is an equidigital number, since it uses as much as digits as its factorization.

350052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 350052864 is about 18709.6997303538. The cubic root of 350052864 is about 704.7653522203.

The spelling of 350052864 in words is "three hundred fifty million, fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4651 4704 5376 6272 9302 9408 10752 12544 13953 18604 18816 25088 27906 32557 37208 37632 55812 65114 74416 75264 97671 111624 130228 148832 195342 223248 227899 260456 297664 390684 446496 455798 520912 595328 683697 781368 892992 911596 1041824 1190656 1367394 1562736 1785984 1823192 2083648 2381312 2734788 3125472 3571968 3646384 4167296 5469576 6250944 7143936 7292768 8334592 10939152 12501888 14585536 16669184 21878304 25003776 29171072 43756608 50007552 58342144 87513216 116684288 175026432 350052864