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4394364100 = 2252729472
BaseRepresentation
bin1000001011110110…
…01010110011000100
3102100020202211021221
410011323022303010
532444424122400
62004014250124
7213616323100
oct40573126304
912306684257
104394364100
11195555a875
12a277b6944
1355053b959
142d988c900
151aabc3c1a
hex105ecacc4

4394364100 has 81 divisors (see below), whose sum is σ = 11104356333. Its totient is φ = 1505048160.

The previous prime is 4394364047. The next prime is 4394364109. The reversal of 4394364100 is 14634934.

The square root of 4394364100 is 66290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1581971076 + 2812393024 = 39774^2 + 53032^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4394364109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4639827 + ... + 4640773.

Almost surely, 24394364100 is an apocalyptic number.

4394364100 is the 66290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4394364100

4394364100 is an abundant number, since it is smaller than the sum of its proper divisors (6709992233).

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

4394364100 is an equidigital number, since it uses as much as digits as its factorization.

4394364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The cubic root of 4394364100 is about 1637.9426039742.

The spelling of 4394364100 in words is "four billion, three hundred ninety-four million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 947 980 1225 1894 2450 3788 4735 4900 6629 9470 13258 18940 23675 26516 33145 46403 47350 66290 92806 94700 132580 165725 185612 232015 331450 464030 662900 896809 928060 1160075 1793618 2320150 3587236 4484045 4640300 6277663 8968090 12555326 17936180 22420225 25110652 31388315 43943641 44840450 62776630 87887282 89680900 125553260 156941575 175774564 219718205 313883150 439436410 627766300 878872820 1098591025 2197182050 4394364100