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350224020 = 22335648563
BaseRepresentation
bin10100110111111…
…111111010010100
3220102000020001000
4110313333322110
51204124132040
654430303300
711451566166
oct2467777224
9812006030
10350224020
1116a768543
1299357b30
1357734163
1434728936
1520b30130
hex14dffe94

350224020 has 48 divisors (see below), whose sum is σ = 1089587520. Its totient is φ = 93392928.

The previous prime is 350224003. The next prime is 350224027. The reversal of 350224020 is 20422053.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 350223984 and 350224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350224027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323742 + ... + 324821.

It is an arithmetic number, because the mean of its divisors is an integer number (22699740).

Almost surely, 2350224020 is an apocalyptic number.

350224020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350224020 is an abundant number, since it is smaller than the sum of its proper divisors (739363500).

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

350224020 is a wasteful number, since it uses less digits than its factorization.

350224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648581 (or 648573 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 350224020 is about 18714.2731624822. The cubic root of 350224020 is about 704.8801969355.

Adding to 350224020 its reverse (20422053), we get a palindrome (370646073).

The spelling of 350224020 in words is "three hundred fifty million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 648563 1297126 1945689 2594252 3242815 3891378 5837067 6485630 7782756 9728445 11674134 12971260 17511201 19456890 23348268 29185335 35022402 38913780 58370670 70044804 87556005 116741340 175112010 350224020