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734377216 = 284496389
BaseRepresentation
bin101011110001011…
…011010100000000
31220011212020011011
4223301123110000
53001000032331
6200512130304
724125050306
oct5361332400
91804766134
10734377216
1134759a521
12185b36994
13b91b7841
146d766276
15447133b1
hex2bc5b500

734377216 has 36 divisors (see below), whose sum is σ = 1469380500. Its totient is φ = 366313472.

The previous prime is 734377213. The next prime is 734377219. The reversal of 734377216 is 612773437.

It is an interprime number because it is at equal distance from previous prime (734377213) and next prime (734377219).

It can be written as a sum of positive squares in 2 ways, for example, as 153760000 + 580617216 = 12400^2 + 24096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734377213) by changing a digit.

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, 111750 + ... + 118138.

It is an arithmetic number, because the mean of its divisors is an integer number (40816125).

Almost surely, 2734377216 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 734377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734690250).

734377216 is an abundant number, since it is smaller than the sum of its proper divisors (735003284).

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

734377216 is an equidigital number, since it uses as much as digits as its factorization.

734377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 6840 counting only the distinct ones).

The product of its digits is 148176, while the sum is 40.

The square root of 734377216 is about 27099.3951224008. The cubic root of 734377216 is about 902.2074275128.

The spelling of 734377216 in words is "seven hundred thirty-four million, three hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 449 898 1796 3592 6389 7184 12778 14368 25556 28736 51112 57472 102224 114944 204448 408896 817792 1635584 2868661 5737322 11474644 22949288 45898576 91797152 183594304 367188608 734377216