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20342130304 = 272367310267
BaseRepresentation
bin10010111100011111…
…000100011010000000
31221111200022021210111
4102330133010122000
5313130041132204
613202310241104
71320045153226
oct227437043200
957450267714
1020342130304
118699669641
123b38656194
131bc2536ac2
14dad904b16
157e0cecd04
hex4bc7c4680

20342130304 has 64 divisors (see below), whose sum is σ = 42354267840. Its totient is φ = 9713442816.

The previous prime is 20342130257. The next prime is 20342130323. The reversal of 20342130304 is 40303124302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1976179 + ... + 1986445.

It is an arithmetic number, because the mean of its divisors is an integer number (661785435).

Almost surely, 220342130304 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 20342130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177133920).

20342130304 is an abundant number, since it is smaller than the sum of its proper divisors (22012137536).

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

20342130304 is a wasteful number, since it uses less digits than its factorization.

20342130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20342130304 its reverse (40303124302), we get a palindrome (60645254606).

The spelling of 20342130304 in words is "twenty billion, three hundred forty-two million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 673 736 1346 1472 2692 2944 5384 10267 10768 15479 20534 21536 30958 41068 43072 61916 82136 86144 123832 164272 236141 247664 328544 472282 495328 657088 944564 990656 1314176 1889128 1981312 3778256 6909691 7556512 13819382 15113024 27638764 30226048 55277528 110555056 158922893 221110112 317845786 442220224 635691572 884440448 1271383144 2542766288 5085532576 10171065152 20342130304