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3644023020 = 22351125121997
BaseRepresentation
bin1101100100110011…
…0110000011101100
3100101221212112211120
43121030312003230
524430332214040
61401332020540
7156205453551
oct33114660354
910357775746
103644023020
1115aaa57480
12858461750
13460c54b51
14267d6ca28
15164daa7d0
hexd93360ec

3644023020 has 96 divisors (see below), whose sum is σ = 11175687936. Its totient is φ = 879840000.

The previous prime is 3644023013. The next prime is 3644023037. The reversal of 3644023020 is 203204463.

It is a happy number.

3644023020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154662 + ... + 176658.

It is an arithmetic number, because the mean of its divisors is an integer number (116413416).

Almost surely, 23644023020 is an apocalyptic number.

3644023020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587843968).

3644023020 is an abundant number, since it is smaller than the sum of its proper divisors (7531664916).

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

3644023020 is a wasteful number, since it uses less digits than its factorization.

3644023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22271 (or 22269 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3644023020 is about 60365.7437625016. The cubic root of 3644023020 is about 1538.8408407677.

Adding to 3644023020 its reverse (203204463), we get a palindrome (3847227483).

The spelling of 3644023020 in words is "three billion, six hundred forty-four million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 251 330 502 660 753 1004 1255 1506 2510 2761 3012 3765 5020 5522 7530 8283 11044 13805 15060 16566 21997 27610 33132 41415 43994 55220 65991 82830 87988 109985 131982 165660 219970 241967 263964 329955 439940 483934 659910 725901 967868 1209835 1319820 1451802 2419670 2903604 3629505 4839340 5521247 7259010 11042494 14518020 16563741 22084988 27606235 33127482 55212470 60733717 66254964 82818705 110424940 121467434 165637410 182201151 242934868 303668585 331274820 364402302 607337170 728804604 911005755 1214674340 1822011510 3644023020