Search a number
-
+
734124416 = 2718131687
BaseRepresentation
bin101011110000011…
…101100110000000
31220011101101101012
4223300131212000
53000413440131
6200502500052
724122645264
oct5360354600
91804341335
10734124416
113474375a3
12185a34628
13b912975c
146d6dc0a4
15446b352b
hex2bc1d980

734124416 has 32 divisors (see below), whose sum is σ = 1470640080. Its totient is φ = 365022720.

The previous prime is 734124383. The next prime is 734124463. The reversal of 734124416 is 614421437.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 7325 + ... + 39011.

Almost surely, 2734124416 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 734124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735320040).

734124416 is an abundant number, since it is smaller than the sum of its proper divisors (736515664).

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

734124416 is a wasteful number, since it uses less digits than its factorization.

734124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31882 (or 31870 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 734124416 is about 27094.7304101739. The cubic root of 734124416 is about 902.1038911608.

The spelling of 734124416 in words is "seven hundred thirty-four million, one hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 2896 5792 11584 23168 31687 63374 126748 253496 506992 1013984 2027968 4055936 5735347 11470694 22941388 45882776 91765552 183531104 367062208 734124416