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350236920 = 233511224121
BaseRepresentation
bin10100111000000…
…011000011111000
3220102000212201210
4110320003003320
51204130040140
654430443120
711451651615
oct2470030370
9812025653
10350236920
1116a777200
12993634a0
1357739ca7
143472d50c
1520b33d80
hex14e030f8

350236920 has 96 divisors (see below), whose sum is σ = 1154961360. Its totient is φ = 84902400.

The previous prime is 350236871. The next prime is 350236927. The reversal of 350236920 is 29632053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350236927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2460 + ... + 26580.

Almost surely, 2350236920 is an apocalyptic number.

350236920 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 350236920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577480680).

350236920 is an abundant number, since it is smaller than the sum of its proper divisors (804724440).

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

350236920 is a wasteful number, since it uses less digits than its factorization.

350236920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24157 (or 24142 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 350236920 is about 18714.6178160282. The cubic root of 350236920 is about 704.8888512466. Note that the first 4 decimals are identical.

Adding to 350236920 its reverse (29632053), we get a palindrome (379868973).

The spelling of 350236920 in words is "three hundred fifty million, two hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 24121 48242 72363 96484 120605 144726 192968 241210 265331 289452 361815 482420 530662 578904 723630 795993 964840 1061324 1326655 1447260 1591986 2122648 2653310 2894520 2918641 3183972 3979965 5306620 5837282 6367944 7959930 8755923 10613240 11674564 14593205 15919860 17511846 23349128 29186410 31839720 35023692 43779615 58372820 70047384 87559230 116745640 175118460 350236920