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350420440 = 23541732927
BaseRepresentation
bin10100111000101…
…111110111011000
3220102101012110211
4110320233313120
51204201423230
654434420504
711453344636
oct2470576730
9812335424
10350420440
1116a892077
1299431734
13577a2696
143477a356
1520b6d42a
hex14e2fdd8

350420440 has 64 divisors (see below), whose sum is σ = 819020160. Its totient is φ = 134830080.

The previous prime is 350420437. The next prime is 350420461. The reversal of 350420440 is 44024053.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118257 + ... + 121183.

It is an arithmetic number, because the mean of its divisors is an integer number (12797190).

Almost surely, 2350420440 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 350420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409510080).

350420440 is an abundant number, since it is smaller than the sum of its proper divisors (468599720).

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

350420440 is a wasteful number, since it uses less digits than its factorization.

350420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 350420440 is about 18719.5202929990. The cubic root of 350420440 is about 705.0119475533.

Adding to 350420440 its reverse (44024053), we get a palindrome (394444493).

The spelling of 350420440 in words is "three hundred fifty million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 73 82 146 164 205 292 328 365 410 584 730 820 1460 1640 2920 2927 2993 5854 5986 11708 11972 14635 14965 23416 23944 29270 29930 58540 59860 117080 119720 120007 213671 240014 427342 480028 600035 854684 960056 1068355 1200070 1709368 2136710 2400140 4273420 4800280 8546840 8760511 17521022 35042044 43802555 70084088 87605110 175210220 350420440