Search a number
-
+
7342324704 = 253611133171
BaseRepresentation
bin1101101011010001…
…01111101111100000
3200221200212202000000
412311220233233200
5110014113342304
63212323300000
7346643505321
oct66550575740
920850782000
107342324704
113128607250
12150ab1a600
13900202740
144d91ca448
152ce8d8939
hex1b5a2fbe0

7342324704 has 672 divisors, whose sum is σ = 26653390848. Its totient is φ = 1959552000.

The previous prime is 7342324697. The next prime is 7342324709. The reversal of 7342324704 is 4074232437.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7342324709) 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 111 ways as a sum of consecutive naturals, for example, 103412989 + ... + 103413059.

It is an arithmetic number, because the mean of its divisors is an integer number (39662784).

Almost surely, 27342324704 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 7342324704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13326695424).

7342324704 is an abundant number, since it is smaller than the sum of its proper divisors (19311066144).

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

7342324704 is a wasteful number, since it uses less digits than its factorization.

7342324704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 7342324704 is about 85687.3660699172. The cubic root of 7342324704 is about 1943.6192670020.

The spelling of 7342324704 in words is "seven billion, three hundred forty-two million, three hundred twenty-four thousand, seven hundred four".