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3421240432 = 2423291132837
BaseRepresentation
bin1100101111101011…
…1111110001110000
322211102200000120121
43023322333301300
524001314143212
61323253020024
7150532030621
oct31372776160
98742600517
103421240432
1114a6223635
127b5924614
13426a51a2c
14246539a48
15150550d07
hexcbebfc70

3421240432 has 80 divisors (see below), whose sum is σ = 7221234240. Its totient is φ = 1565290496.

The previous prime is 3421240421. The next prime is 3421240441. The reversal of 3421240432 is 2340421243.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3421240397 and 3421240406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204518 + ... + 1207354.

It is an arithmetic number, because the mean of its divisors is an integer number (90265428).

Almost surely, 23421240432 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 3421240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610617120).

3421240432 is an abundant number, since it is smaller than the sum of its proper divisors (3799993808).

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

3421240432 is a wasteful number, since it uses less digits than its factorization.

3421240432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3421240432 is about 58491.3705772057. The cubic root of 3421240432 is about 1506.8193847164.

Adding to 3421240432 its reverse (2340421243), we get a palindrome (5761661675).

The spelling of 3421240432 in words is "three billion, four hundred twenty-one million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 29 46 58 92 113 116 184 226 232 368 452 464 667 904 1334 1808 2599 2668 2837 3277 5198 5336 5674 6554 10396 10672 11348 13108 20792 22696 26216 41584 45392 52432 65251 75371 82273 130502 150742 164546 261004 301484 320581 329092 522008 602968 641162 658184 1044016 1205936 1282324 1316368 1892279 2564648 3784558 5129296 7373363 7569116 9296849 14746726 15138232 18593698 29493452 30276464 37187396 58986904 74374792 117973808 148749584 213827527 427655054 855310108 1710620216 3421240432