Search a number
-
+
734061834 = 2321131592027
BaseRepresentation
bin101011110000001…
…110010100001010
31220011021012112100
4223300032110022
53000404434314
6200501254230
724122264652
oct5360162412
91804235470
10734061834
113473a4580
12185a04376
13b910711c
146d6c3362
154469ec09
hex2bc0e50a

734061834 has 96 divisors (see below), whose sum is σ = 1822279680. Its totient is φ = 211514400.

The previous prime is 734061791. The next prime is 734061857. The reversal of 734061834 is 438160437.

734061834 is a `hidden beast` number, since 7 + 3 + 4 + 0 + 618 + 34 = 666.

It is a super-2 number, since 2×7340618342 = 1077693552270887112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 361129 + ... + 363155.

It is an arithmetic number, because the mean of its divisors is an integer number (18982080).

Almost surely, 2734061834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734061834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911139840).

734061834 is an abundant number, since it is smaller than the sum of its proper divisors (1088217846).

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

734061834 is a wasteful number, since it uses less digits than its factorization.

734061834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 734061834 is about 27093.5755115489. The cubic root of 734061834 is about 902.0782565096.

The spelling of 734061834 in words is "seven hundred thirty-four million, sixty-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 59 62 66 93 99 118 177 186 198 279 341 354 531 558 649 682 1023 1062 1298 1829 1947 2027 2046 3069 3658 3894 4054 5487 5841 6081 6138 10974 11682 12162 16461 18243 20119 22297 32922 36486 40238 44594 60357 62837 66891 119593 120714 125674 133782 181071 188511 200673 239186 358779 362142 377022 401346 565533 691207 717558 1076337 1131066 1315523 1382414 2073621 2152674 2631046 3707383 3946569 4147242 6220863 7414766 7893138 11122149 11839707 12441726 22244298 23679414 33366447 40781213 66732894 81562426 122343639 244687278 367030917 734061834