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350242320 = 24357319991
BaseRepresentation
bin10100111000000…
…100011000010000
3220102001011010210
4110320010120100
51204130223240
654430524120
711452003431
oct2470043020
9812034123
10350242320
1116a78026a
1299366640
135773c59c
1434731488
1520b35780
hex14e04610

350242320 has 80 divisors (see below), whose sum is σ = 1100679552. Its totient is φ = 92113920.

The previous prime is 350242307. The next prime is 350242327. The reversal of 350242320 is 23242053.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (350242327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7525 + ... + 27515.

Almost surely, 2350242320 is an apocalyptic number.

350242320 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 350242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550339776).

350242320 is an abundant number, since it is smaller than the sum of its proper divisors (750437232).

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

350242320 is a wasteful number, since it uses less digits than its factorization.

350242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20080 (or 20074 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 350242320 is about 18714.7620877210. The cubic root of 350242320 is about 704.8924739184.

Adding to 350242320 its reverse (23242053), we get a palindrome (373484373).

The spelling of 350242320 in words is "three hundred fifty million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 19991 39982 59973 79964 99955 119946 159928 199910 239892 299865 319856 399820 479784 599730 799640 959568 1199460 1459343 1599280 2398920 2918686 4378029 4797840 5837372 7296715 8756058 11674744 14593430 17512116 21890145 23349488 29186860 35024232 43780290 58373720 70048464 87560580 116747440 175121160 350242320