Search a number
-
+
734478336 = 2143217293
BaseRepresentation
bin101011110001110…
…100000000000000
31220012001100212100
4223301310000000
53001011301321
6200514230400
724125651154
oct5361640000
91805040770
10734478336
11347659499
12185b85400
13b9221887
146d791064
1544733326
hex2bc74000

734478336 has 180 divisors, whose sum is σ = 2254238532. Its totient is φ = 229638144.

The previous prime is 734478323. The next prime is 734478337. The reversal of 734478336 is 633874437.

It can be written as a sum of positive squares in 2 ways, for example, as 642318336 + 92160000 = 25344^2 + 9600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 734478291 and 734478300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734478337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2506606 + ... + 2506898.

Almost surely, 2734478336 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 734478336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127119266).

734478336 is an abundant number, since it is smaller than the sum of its proper divisors (1519760196).

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

734478336 is a wasteful number, since it uses less digits than its factorization.

734478336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 315 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 734478336 is about 27101.2607824802. The cubic root of 734478336 is about 902.2488354005.

Adding to 734478336 its product of digits (1016064), we get a square (735494400 = 271202).

The spelling of 734478336 in words is "seven hundred thirty-four million, four hundred seventy-eight thousand, three hundred thirty-six".