Search a number
-
+
734074674732 = 2233719310934603
BaseRepresentation
bin10101010111010100100…
…00101001111000101100
32121011202221000020001000
422223222100221320230
544011341104042412
61321121303520300
7104015024532360
oct12535220517054
92534687006030
10734074674732
11263357020103
12ba328159090
13542b8a6ac79
142775a9812a0
15141657a74dc
hexaaea429e2c

734074674732 has 192 divisors, whose sum is σ = 2188781378560. Its totient is φ = 208412725248.

The previous prime is 734074674731. The next prime is 734074674763. The reversal of 734074674732 is 237476470437.

It is a happy number.

734074674732 is a `hidden beast` number, since 7 + 3 + 40 + 74 + 67 + 473 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (734074674731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159475143 + ... + 159479745.

Almost surely, 2734074674732 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 734074674732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094390689280).

734074674732 is an abundant number, since it is smaller than the sum of its proper divisors (1454706703828).

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

734074674732 is a wasteful number, since it uses less digits than its factorization.

734074674732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 54.

The spelling of 734074674732 in words is "seven hundred thirty-four billion, seventy-four million, six hundred seventy-four thousand, seven hundred thirty-two".