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350520100 = 225272931557
BaseRepresentation
bin10100111001001…
…000001100100100
3220102120021011221
4110321020030210
51204213120400
654440510124
711454241330
oct2471101444
9812507157
10350520100
1116a94aa37
129947b344
1357808b58
14347a47c0
1520b8cc1a
hex14e48324

350520100 has 144 divisors (see below), whose sum is σ = 929940480. Its totient is φ = 112089600.

The previous prime is 350520089. The next prime is 350520109. The reversal of 350520100 is 1025053.

It is not an unprimeable number, because it can be changed into a prime (350520109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629022 + ... + 629578.

It is an arithmetic number, because the mean of its divisors is an integer number (6457920).

Almost surely, 2350520100 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 350520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464970240).

350520100 is an abundant number, since it is smaller than the sum of its proper divisors (579420380).

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

350520100 is a wasteful number, since it uses less digits than its factorization.

350520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 350520100 is about 18722.1820309493. The cubic root of 350520100 is about 705.0787766372.

Adding to 350520100 its reverse (1025053), we get a palindrome (351545153).

The spelling of 350520100 in words is "three hundred fifty million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 31 35 50 58 62 70 100 116 124 140 145 155 175 203 217 290 310 350 406 434 557 580 620 700 725 775 812 868 899 1015 1085 1114 1450 1550 1798 2030 2170 2228 2785 2900 3100 3596 3899 4060 4340 4495 5075 5425 5570 6293 7798 8990 10150 10850 11140 12586 13925 15596 16153 17267 17980 19495 20300 21700 22475 25172 27850 31465 32306 34534 38990 44950 55700 62930 64612 69068 77980 80765 86335 89900 97475 113071 120869 125860 157325 161530 172670 194950 226142 241738 314650 323060 345340 389900 403825 431675 452284 483476 500743 565355 604345 629300 807650 863350 1001486 1130710 1208690 1615300 1726700 2002972 2261420 2417380 2503715 2826775 3021725 3505201 5007430 5653550 6043450 7010402 10014860 11307100 12086900 12518575 14020804 17526005 25037150 35052010 50074300 70104020 87630025 175260050 350520100