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350730864 = 243311233209
BaseRepresentation
bin10100111001111…
…011101001110000
3220102221222022000
4110321323221300
51204241341424
654445214000
711456106651
oct2471735160
9812858260
10350730864
1116aa84320
1299561300
1357880a73
143481b528
1520bd03c9
hex14e7ba70

350730864 has 160 divisors (see below), whose sum is σ = 1146355200. Its totient is φ = 101629440.

The previous prime is 350730847. The next prime is 350730889. The reversal of 350730864 is 468037053.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107692 + ... + 110900.

It is an arithmetic number, because the mean of its divisors is an integer number (7164720).

Almost surely, 2350730864 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 350730864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573177600).

350730864 is an abundant number, since it is smaller than the sum of its proper divisors (795624336).

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

350730864 is a wasteful number, since it uses less digits than its factorization.

350730864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 350730864 is about 18727.8099093300. The cubic root of 350730864 is about 705.2200671065.

The spelling of 350730864 in words is "three hundred fifty million, seven hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1012 1104 1188 1242 1518 1584 1656 2024 2277 2376 2484 3036 3209 3312 4048 4554 4752 4968 6072 6418 6831 9108 9627 9936 12144 12836 13662 18216 19254 25672 27324 28881 35299 36432 38508 51344 54648 57762 70598 73807 77016 86643 105897 109296 115524 141196 147614 154032 173286 211794 221421 231048 282392 295228 317691 346572 423588 442842 462096 564784 590456 635382 664263 693144 811877 847176 885684 953073 1180912 1270764 1328526 1386288 1623754 1694352 1771368 1906146 1992789 2435631 2541528 2657052 3247508 3542736 3812292 3985578 4871262 5083056 5314104 6495016 7306893 7624584 7971156 9742524 10628208 12990032 14613786 15249168 15942312 19485048 21920679 29227572 31884624 38970096 43841358 58455144 87682716 116910288 175365432 350730864