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709340016 = 2437113141151
BaseRepresentation
bin101010010001111…
…010101101110000
31211102202012120110
4222101322231300
52423042340031
6154215341320
723402201460
oct5221725560
91742665513
10709340016
11334449720
12179681840
13b3c5c728
146a2c9ba0
1542419c46
hex2a47ab70

709340016 has 320 divisors, whose sum is σ = 2431844352. Its totient is φ = 172800000.

The previous prime is 709340003. The next prime is 709340039. The reversal of 709340016 is 610043907.

It is a happy number.

709340016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4697541 + ... + 4697691.

Almost surely, 2709340016 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 709340016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215922176).

709340016 is an abundant number, since it is smaller than the sum of its proper divisors (1722504336).

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

709340016 is a wasteful number, since it uses less digits than its factorization.

709340016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 709340016 is about 26633.4379305414. The cubic root of 709340016 is about 891.8356323388.

It can be divided in two parts, 709 and 340016, that added together give a triangular number (340725 = T825).

The spelling of 709340016 in words is "seven hundred nine million, three hundred forty thousand, sixteen".