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20344330320 = 2435315474999
BaseRepresentation
bin10010111100100111…
…011101100001010000
31221111211110001122120
4102330213131201100
5313131122032240
613202425334240
71320102645246
oct227447354120
957454401576
1020344330320
11869a931536
123b39337380
131bc2b272a2
14dadd18796
157e10d4ad0
hex4bc9dd850

20344330320 has 160 divisors (see below), whose sum is σ = 65233920000. Its totient is φ = 5239503360.

The previous prime is 20344330291. The next prime is 20344330343. The reversal of 20344330320 is 2303344302.

It is a super-3 number, since 3×203443303203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4067181 + ... + 4072179.

It is an arithmetic number, because the mean of its divisors is an integer number (407712000).

Almost surely, 220344330320 is an apocalyptic number.

20344330320 is a gapful number since it is divisible by the number (20) 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 20344330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32616960000).

20344330320 is an abundant number, since it is smaller than the sum of its proper divisors (44889589680).

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

20344330320 is a wasteful number, since it uses less digits than its factorization.

20344330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 20344330320 its reverse (2303344302), we get a palindrome (22647674622).

The spelling of 20344330320 in words is "twenty billion, three hundred forty-four million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 547 620 744 930 1094 1240 1488 1641 1860 2188 2480 2735 3282 3720 4376 4999 5470 6564 7440 8205 8752 9998 10940 13128 14997 16410 16957 19996 21880 24995 26256 29994 32820 33914 39992 43760 49990 50871 59988 65640 67828 74985 79984 84785 99980 101742 119976 131280 135656 149970 154969 169570 199960 203484 239952 254355 271312 299940 309938 339140 399920 406968 464907 508710 599880 619876 678280 774845 813936 929814 1017420 1199760 1239752 1356560 1549690 1859628 2034840 2324535 2479504 2734453 3099380 3719256 4069680 4649070 5468906 6198760 7438512 8203359 9298140 10937812 12397520 13672265 16406718 18596280 21875624 27344530 32813436 37192560 41016795 43751248 54689060 65626872 82033590 84768043 109378120 131253744 164067180 169536086 218756240 254304129 328134360 339072172 423840215 508608258 656268720 678144344 847680430 1017216516 1271520645 1356288688 1695360860 2034433032 2543041290 3390721720 4068866064 5086082580 6781443440 10172165160 20344330320