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642102340 = 2251119295297
BaseRepresentation
bin100110010001011…
…011010001000100
31122202020011211011
4212101123101010
52303334233330
6143414252004
721624531325
oct4621332104
91582204734
10642102340
112aa4a4aa0
1215b057004
13a304a319
14613c644c
153b58782a
hex2645b444

642102340 has 96 divisors (see below), whose sum is σ = 1602115200. Its totient is φ = 213534720.

The previous prime is 642102319. The next prime is 642102347. The reversal of 642102340 is 43201246.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (642102347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118572 + ... + 123868.

It is an arithmetic number, because the mean of its divisors is an integer number (16688700).

Almost surely, 2642102340 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 642102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801057600).

642102340 is an abundant number, since it is smaller than the sum of its proper divisors (960012860).

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

642102340 is a wasteful number, since it uses less digits than its factorization.

642102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 642102340 is about 25339.7383569760. The cubic root of 642102340 is about 862.7164601286.

Adding to 642102340 its reverse (43201246), we get a palindrome (685303586).

The spelling of 642102340 in words is "six hundred forty-two million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 29 38 44 55 58 76 95 110 116 145 190 209 220 290 319 380 418 551 580 638 836 1045 1102 1276 1595 2090 2204 2755 3190 4180 5297 5510 6061 6380 10594 11020 12122 21188 24244 26485 30305 52970 58267 60610 100643 105940 116534 121220 153613 201286 233068 291335 307226 402572 503215 582670 614452 768065 1006430 1107073 1165340 1536130 1689743 2012860 2214146 2918647 3072260 3379486 4428292 5535365 5837294 6758972 8448715 11070730 11674588 14593235 16897430 22141460 29186470 32105117 33794860 58372940 64210234 128420468 160525585 321051170 642102340