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941734384900 = 225253218312
BaseRepresentation
bin11011011010000111011…
…11100101010100000100
310100000210002101111112121
431231003233211110010
5110412133000304100
62000343220055324
7125016025124041
oct15550357452404
93300702344477
10941734384900
11333429566991
12132620b34544
136aa60c66a0a
143381a06a1c8
151976b40a51a
hexdb43be5504

941734384900 has 81 divisors (see below), whose sum is σ = 2083987093503. Its totient is φ = 369384475200.

The previous prime is 941734384897. The next prime is 941734384909. The reversal of 941734384900 is 9483437149.

The square root of 941734384900 is 970430.

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

941734384900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7094019076 + 934640365824 = 84226^2 + 966768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (941734384909) 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, 514326985 + ... + 514328815.

Almost surely, 2941734384900 is an apocalyptic number.

941734384900 is the 970430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 941734384900

941734384900 is an abundant number, since it is smaller than the sum of its proper divisors (1142252708603).

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

941734384900 is an equidigital number, since it uses as much as digits as its factorization.

941734384900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 941734384900 in words is "nine hundred forty-one billion, seven hundred thirty-four million, three hundred eighty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 1831 2650 2809 3662 5300 5618 7324 9155 11236 14045 18310 28090 36620 45775 56180 70225 91550 97043 140450 183100 194086 280900 388172 485215 970430 1940860 2426075 3352561 4852150 5143279 6705122 9704300 10286558 13410244 16762805 20573116 25716395 33525610 51432790 67051220 83814025 102865580 128581975 167628050 177685733 257163950 335256100 355371466 514327900 710742932 888428665 1776857330 3553714660 4442143325 8884286650 9417343849 17768573300 18834687698 37669375396 47086719245 94173438490 188346876980 235433596225 470867192450 941734384900