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4030314100 = 22521710123473
BaseRepresentation
bin1111000000111001…
…1011011001110100
3101101212202011120121
43300032123121310
531223230022400
61503531341324
7201606050611
oct36016333164
911355664517
104030314100
1117890096aa
129458b1844
134c2ca6657
142a33a5508
15188c6221a
hexf039b674

4030314100 has 72 divisors (see below), whose sum is σ = 9352323288. Its totient is φ = 1502208000.

The previous prime is 4030314053. The next prime is 4030314107. The reversal of 4030314100 is 14130304.

It can be written as a sum of positive squares in 12 ways, for example, as 240188004 + 3790126096 = 15498^2 + 61564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4030314107) 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, 159964 + ... + 183436.

It is an arithmetic number, because the mean of its divisors is an integer number (129893379).

Almost surely, 24030314100 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 4030314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676161644).

4030314100 is an abundant number, since it is smaller than the sum of its proper divisors (5322009188).

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

4030314100 is a wasteful number, since it uses less digits than its factorization.

4030314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23605 (or 23598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4030314100 is about 63484.7548628803. The cubic root of 4030314100 is about 1591.4010171618.

Adding to 4030314100 its reverse (14130304), we get a palindrome (4044444404).

The spelling of 4030314100 in words is "four billion, thirty million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 101 170 202 340 404 425 505 850 1010 1700 1717 2020 2525 3434 5050 6868 8585 10100 17170 23473 34340 42925 46946 85850 93892 117365 171700 234730 399041 469460 586825 798082 1173650 1596164 1995205 2347300 2370773 3990410 4741546 7980820 9483092 9976025 11853865 19952050 23707730 39904100 40303141 47415460 59269325 80606282 118538650 161212564 201515705 237077300 403031410 806062820 1007578525 2015157050 4030314100