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742344516 = 22321922392
BaseRepresentation
bin101100001111110…
…100011101000100
31220201212000020100
4230033310131010
53010020011031
6201355004100
724252552504
oct5417643504
91821760210
10742344516
11351041471
12188739630
13baa47114
147083ba04
1545288de6
hex2c3f4744

742344516 has 81 divisors (see below), whose sum is σ = 1988763231. Its totient is φ = 233443728.

The previous prime is 742344509. The next prime is 742344521. The reversal of 742344516 is 615443247.

The square root of 742344516 is 27246.

It is a perfect power (a square), and thus also a powerful number.

742344516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3105925 + ... + 3106163.

Almost surely, 2742344516 is an apocalyptic number.

742344516 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

742344516 is the 27246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742344516

742344516 is an abundant number, since it is smaller than the sum of its proper divisors (1246418715).

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

742344516 is a wasteful number, since it uses less digits than its factorization.

742344516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The cubic root of 742344516 is about 905.4583988694.

Multiplying 742344516 by its sum of digits (36), we get a square (26724402576 = 1634762).

742344516 divided by its sum of digits (36) gives a square (20620681 = 45412).

The spelling of 742344516 in words is "seven hundred forty-two million, three hundred forty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 239 342 361 478 684 717 722 956 1083 1434 1444 2151 2166 2868 3249 4302 4332 4541 6498 8604 9082 12996 13623 18164 27246 40869 54492 57121 81738 86279 114242 163476 171363 172558 228484 258837 342726 345116 514089 517674 685452 776511 1028178 1035348 1085299 1553022 2056356 2170598 3106044 3255897 4341196 6511794 9767691 13023588 19535382 20620681 39070764 41241362 61862043 82482724 123724086 185586129 247448172 371172258 742344516