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4342331420 = 2257179711879
BaseRepresentation
bin1000000101101001…
…01011100000011100
3102012121212021212122
410002310223200130
532343114101140
61554515122112
7212415131240
oct40264534034
912177767778
104342331420
111929150959
12a122a3338
1354282129b
142d29c6420
151a6346ab5
hex102d2b81c

4342331420 has 96 divisors (see below), whose sum is σ = 11051873280. Its totient is φ = 1399034880.

The previous prime is 4342331353. The next prime is 4342331423. The reversal of 4342331420 is 241332434.

It is a super-2 number, since 2×43423314202 = 37711684322238432800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4342331420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342331423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2310041 + ... + 2311919.

It is an arithmetic number, because the mean of its divisors is an integer number (115123680).

Almost surely, 24342331420 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 4342331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525936640).

4342331420 is an abundant number, since it is smaller than the sum of its proper divisors (6709541860).

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

4342331420 is a wasteful number, since it uses less digits than its factorization.

4342331420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 4342331420 is about 65896.3687922180. The cubic root of 4342331420 is about 1631.4520815203.

Adding to 4342331420 its reverse (241332434), we get a palindrome (4583663854).

The spelling of 4342331420 in words is "four billion, three hundred forty-two million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 971 1190 1879 1942 2380 3758 3884 4855 6797 7516 9395 9710 13153 13594 16507 18790 19420 26306 27188 31943 33014 33985 37580 52612 63886 65765 66028 67970 82535 115549 127772 131530 135940 159715 165070 223601 231098 263060 319430 330140 447202 462196 577745 638860 894404 1118005 1155490 1824509 2236010 2310980 3649018 4472020 7298036 9122545 12771563 18245090 25543126 31016653 36490180 51086252 62033306 63857815 124066612 127715630 155083265 217116571 255431260 310166530 434233142 620333060 868466284 1085582855 2171165710 4342331420