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20340431430 = 235113710715569
BaseRepresentation
bin10010111100011000…
…100101101001000110
31221111120002222101020
4102330120211221012
5313124122301210
613202210012010
71320024546234
oct227430455106
957446088336
1020340431430
118698709210
123b37b77006
131bc2090757
14dad5c1954
157e0ab4770
hex4bc625a46

20340431430 has 128 divisors (see below), whose sum is σ = 55208977920. Its totient is φ = 4752599040.

The previous prime is 20340431429. The next prime is 20340431459. The reversal of 20340431430 is 3413404302.

It is a self number, because there is not a number n which added to its sum of digits gives 20340431430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1298686 + ... + 1314254.

It is an arithmetic number, because the mean of its divisors is an integer number (431320140).

Almost surely, 220340431430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340431430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27604488960).

20340431430 is an abundant number, since it is smaller than the sum of its proper divisors (34868546490).

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

20340431430 is a wasteful number, since it uses less digits than its factorization.

20340431430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15734.

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

Adding to 20340431430 its reverse (3413404302), we get a palindrome (23753835732).

The spelling of 20340431430 in words is "twenty billion, three hundred forty million, four hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 107 110 111 165 185 214 222 321 330 370 407 535 555 642 814 1070 1110 1177 1221 1605 2035 2354 2442 3210 3531 3959 4070 5885 6105 7062 7918 11770 11877 12210 15569 17655 19795 23754 31138 35310 39590 43549 46707 59385 77845 87098 93414 118770 130647 155690 171259 217745 233535 261294 342518 435490 467070 513777 576053 653235 856295 1027554 1152106 1306470 1665883 1712590 1728159 2568885 2880265 3331766 3456318 4997649 5137770 5760530 6336583 8329415 8640795 9995298 12673166 16658830 17281590 18324713 19009749 24988245 31682915 36649426 38019498 49976490 54974139 61637671 63365830 91623565 95048745 109948278 123275342 183247130 184913013 190097490 274870695 308188355 369826026 549741390 616376710 678014381 924565065 1356028762 1849130130 2034043143 3390071905 4068086286 6780143810 10170215715 20340431430