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3420761604 = 22313731312293
BaseRepresentation
bin1100101111100100…
…1010111000000100
322211101202200202020
43023321022320010
524001203332404
61323234443140
7150524664621
oct31371127004
98741680666
103420761604
1114a5a26907
127b57334b0
13426914ac0
14246453348
151504a8ed9
hexcbe4ae04

3420761604 has 96 divisors (see below), whose sum is σ = 8783854464. Its totient is φ = 1029749760.

The previous prime is 3420761507. The next prime is 3420761609. The reversal of 3420761604 is 4061670243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3420761609) 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, 1490682 + ... + 1492974.

It is an arithmetic number, because the mean of its divisors is an integer number (91498484).

Almost surely, 23420761604 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 3420761604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391927232).

3420761604 is an abundant number, since it is smaller than the sum of its proper divisors (5363092860).

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

3420761604 is a wasteful number, since it uses less digits than its factorization.

3420761604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3420761604 is about 58487.2772831836. The cubic root of 3420761604 is about 1506.7490845831.

The spelling of 3420761604 in words is "three billion, four hundred twenty million, seven hundred sixty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 131 146 156 219 262 292 393 438 524 786 876 949 1572 1703 1898 2293 2847 3406 3796 4586 5109 5694 6812 6879 9172 9563 10218 11388 13758 19126 20436 27516 28689 29809 38252 57378 59618 89427 114756 119236 124319 167389 178854 248638 300383 334778 357708 372957 497276 502167 600766 669556 745914 901149 1004334 1201532 1491828 1802298 2008668 2176057 3604596 3904979 4352114 6528171 7809958 8704228 11714937 13056342 15619916 21927959 23429874 26112684 43855918 46859748 65783877 87711836 131567754 263135508 285063467 570126934 855190401 1140253868 1710380802 3420761604