Search a number
-
+
734105867196 = 2231367347202409
BaseRepresentation
bin10101010111011000001…
…11101001001110111100
32121011212002200222001110
422223230013221032330
544011422100222241
61321124340242020
7104015553625452
oct12535407511674
92534762628043
10734105867196
112633726954a9
12ba3366a0310
13542c236c950
1427760b809d2
15141683b9816
hexaaec1e93bc

734105867196 has 96 divisors (see below), whose sum is σ = 1877613454080. Its totient is φ = 221865076224.

The previous prime is 734105867189. The next prime is 734105867203. The reversal of 734105867196 is 691768501437.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (734105867189) and next prime (734105867203).

It is a super-2 number, since 2×7341058671962 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3525640 + ... + 3728048.

It is an arithmetic number, because the mean of its divisors is an integer number (19558473480).

Almost surely, 2734105867196 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 734105867196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938806727040).

734105867196 is an abundant number, since it is smaller than the sum of its proper divisors (1143507586884).

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

734105867196 is a wasteful number, since it uses less digits than its factorization.

734105867196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202843 (or 202841 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 734105867196 in words is "seven hundred thirty-four billion, one hundred five million, eight hundred sixty-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 347 402 694 804 871 1041 1388 1742 2082 2613 3484 4164 4511 5226 9022 10452 13533 18044 23249 27066 46498 54132 69747 92996 139494 202409 278988 302237 404818 604474 607227 809636 906711 1208948 1214454 1813422 2428908 2631317 3626844 5262634 7893951 10525268 13561403 15787902 27122806 31575804 40684209 54245612 70235923 81368418 140471846 162736836 176298239 210707769 280943692 352596478 421415538 528894717 705192956 842831076 913066999 1057789434 1826133998 2115578868 2739200997 3652267996 4705806841 5478401994 9411613682 10956803988 14117420523 18823227364 28234841046 56469682092 61175488933 122350977866 183526466799 244701955732 367052933598 734105867196