Search a number
-
+
350942220 = 223451712743
BaseRepresentation
bin10100111010101…
…111010000001100
3220110100201020000
4110322233100030
51204320122340
654453524300
711460650106
oct2472572014
9813321200
10350942220
111701090a2
1299643690
1357926025
1434874576
1520c22d30
hex14eaf40c

350942220 has 120 divisors (see below), whose sum is σ = 1165770144. Its totient is φ = 88072704.

The previous prime is 350942201. The next prime is 350942239. The reversal of 350942220 is 22249053.

350942220 is a `hidden beast` number, since 350 + 94 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (350942201) and next prime (350942239).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21169 + ... + 33911.

Almost surely, 2350942220 is an apocalyptic number.

350942220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350942220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582885072).

350942220 is an abundant number, since it is smaller than the sum of its proper divisors (814827924).

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

350942220 is a wasteful number, since it uses less digits than its factorization.

350942220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12781 (or 12770 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 350942220 is about 18733.4518976082. The cubic root of 350942220 is about 705.3616976057.

The spelling of 350942220 in words is "three hundred fifty million, nine hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 12743 13770 25486 27540 38229 50972 63715 76458 114687 127430 152916 191145 216631 229374 254860 344061 382290 433262 458748 573435 649893 688122 764580 866524 1032183 1083155 1146870 1299786 1376244 1720305 1949679 2064366 2166310 2293740 2599572 3249465 3440610 3899358 4128732 4332620 5160915 5849037 6498930 6881220 7798716 9748395 10321830 11698074 12997860 17547111 19496790 20643660 23396148 29245185 35094222 38993580 58490370 70188444 87735555 116980740 175471110 350942220