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350420840 = 235711210343
BaseRepresentation
bin10100111000101…
…111111101101000
3220102101020000122
4110320233331220
51204201431330
654434422412
711453346050
oct2470577550
9812336018
10350420840
1116a892400
1299431a08
13577a2913
143477a560
1520b6d5e5
hex14e2ff68

350420840 has 96 divisors (see below), whose sum is σ = 990541440. Its totient is φ = 109211520.

The previous prime is 350420761. The next prime is 350420843. The reversal of 350420840 is 48024053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350420843) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28709 + ... + 39051.

It is an arithmetic number, because the mean of its divisors is an integer number (10318140).

Almost surely, 2350420840 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 350420840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495270720).

350420840 is an abundant number, since it is smaller than the sum of its proper divisors (640120600).

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

350420840 is a wasteful number, since it uses less digits than its factorization.

350420840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 350420840 is about 18719.5309770304. The cubic root of 350420840 is about 705.0122158070.

Adding to 350420840 its reverse (48024053), we get a palindrome (398444893).

The spelling of 350420840 in words is "three hundred fifty million, four hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 6776 8470 10343 16940 20686 33880 41372 51715 72401 82744 103430 113773 144802 206860 227546 289604 362005 413720 455092 568865 579208 724010 796411 910184 1137730 1251503 1448020 1592822 2275460 2503006 2896040 3185644 3982055 4550920 5006012 6257515 6371288 7964110 8760521 10012024 12515030 15928220 17521042 25030060 31856440 35042084 43802605 50060120 70084168 87605210 175210420 350420840