Search a number
-
+
742244346 = 232313735951
BaseRepresentation
bin101100001111011…
…011111111111010
31220201122220211100
4230033123333322
53010003304341
6201352512230
724251654454
oct5417337772
91821586740
10742244346
11350a83188
121886ab676
13baa1064c
14708132d4
15452693b6
hex2c3dbffa

742244346 has 48 divisors (see below), whose sum is σ = 1704987648. Its totient is φ = 232956000.

The previous prime is 742244333. The next prime is 742244381. The reversal of 742244346 is 643442247.

742244346 is a `hidden beast` number, since 74 + 2 + 244 + 346 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 742244346.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2671 + ... + 38621.

It is an arithmetic number, because the mean of its divisors is an integer number (35520576).

Almost surely, 2742244346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742244346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852493824).

742244346 is an abundant number, since it is smaller than the sum of its proper divisors (962743302).

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

742244346 is a wasteful number, since it uses less digits than its factorization.

742244346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36027 (or 36024 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 742244346 is about 27244.1616864972. The cubic root of 742244346 is about 905.4176703192.

The spelling of 742244346 in words is "seven hundred forty-two million, two hundred forty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 558 666 1147 2294 3441 6882 10323 20646 35951 71902 107853 215706 323559 647118 1114481 1330187 2228962 2660374 3343443 3990561 6686886 7981122 10030329 11971683 20060658 23943366 41235797 82471594 123707391 247414782 371122173 742244346