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20340331000 = 2353114739343
BaseRepresentation
bin10010111100011000…
…001101000111111000
31221111112220212121121
4102330120031013320
5313124111043000
613202203515024
71320023650363
oct227430150770
957445825547
1020340331000
11869864a810
123b37b28a74
131bc2056b22
14dad5970da
157e0a94b1a
hex4bc60d1f8

20340331000 has 128 divisors (see below), whose sum is σ = 53029416960. Its totient is φ = 7238928000.

The previous prime is 20340330971. The next prime is 20340331021. The reversal of 20340331000 is 13304302.

It is a super-2 number, since 2×203403310002 (a number of 21 digits) contains 22 as substring.

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, 497329 + ... + 536671.

It is an arithmetic number, because the mean of its divisors is an integer number (414292320).

Almost surely, 220340331000 is an apocalyptic number.

20340331000 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 20340331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26514708480).

20340331000 is an abundant number, since it is smaller than the sum of its proper divisors (32689085960).

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

20340331000 is a wasteful number, since it uses less digits than its factorization.

20340331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39422 (or 39408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20340331000 its reverse (13304302), we get a palindrome (20353635302).

The spelling of 20340331000 in words is "twenty billion, three hundred forty million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 125 188 200 220 235 250 275 376 440 470 500 517 550 940 1000 1034 1100 1175 1375 1880 2068 2200 2350 2585 2750 4136 4700 5170 5500 5875 9400 10340 11000 11750 12925 20680 23500 25850 39343 47000 51700 64625 78686 103400 129250 157372 196715 258500 314744 393430 432773 517000 786860 865546 983575 1573720 1731092 1849121 1967150 2163865 3462184 3698242 3934300 4327730 4917875 7396484 7868600 8655460 9245605 9835750 10819325 14792968 17310920 18491210 19671500 20340331 21638650 36982420 39343000 40680662 43277300 46228025 54096625 73964840 81361324 86554600 92456050 101701655 108193250 162722648 184912100 203403310 216386500 231140125 369824200 406806620 432773000 462280250 508508275 813613240 924560500 1017016550 1849121000 2034033100 2542541375 4068066200 5085082750 10170165500 20340331000