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3423212300 = 2252157337647
BaseRepresentation
bin1100110000001010…
…0001001100001100
322211120101012110202
43030002201030030
524002320243200
61323403153032
7150554552534
oct31402411414
98746335422
103423212300
1114a7350082
127b6515778
13427292411
142468d04c4
151507e01d5
hexcc0a130c

3423212300 has 72 divisors (see below), whose sum is σ = 7509456864. Its totient is φ = 1354429440.

The previous prime is 3423212269. The next prime is 3423212323. The reversal of 3423212300 is 32123243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5290577 + ... + 5291223.

It is an arithmetic number, because the mean of its divisors is an integer number (104298012).

Almost surely, 23423212300 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 3423212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754728432).

3423212300 is an abundant number, since it is smaller than the sum of its proper divisors (4086244564).

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

3423212300 is a wasteful number, since it uses less digits than its factorization.

3423212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3423212300 is about 58508.2242082256. The cubic root of 3423212300 is about 1507.1088195312.

Adding to 3423212300 its reverse (32123243), we get a palindrome (3455335543).

The spelling of 3423212300 in words is "three billion, four hundred twenty-three million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 337 628 647 674 785 1294 1348 1570 1685 2588 3140 3235 3370 3925 6470 6740 7850 8425 12940 15700 16175 16850 32350 33700 52909 64700 101579 105818 203158 211636 218039 264545 406316 436078 507895 529090 872156 1015790 1058180 1090195 1322725 2031580 2180390 2539475 2645450 4360780 5078950 5290900 5450975 10157900 10901950 21803900 34232123 68464246 136928492 171160615 342321230 684642460 855803075 1711606150 3423212300