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747144342 = 232729732801
BaseRepresentation
bin101100100010001…
…000010010010110
31221001212212100200
4230202020102112
53012232104332
6202045521330
724341423250
oct5442102226
91831785320
10747144342
1135381a66a
1218a273246
13bba37a59
147132acd0
15458d617c
hex2c888496

747144342 has 96 divisors (see below), whose sum is σ = 1940777280. Its totient is φ = 203212800.

The previous prime is 747144341. The next prime is 747144347. The reversal of 747144342 is 243441747.

It is a happy number.

It is a super-2 number, since 2×7471443422 = 1116449335565225928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 747144297 and 747144306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747144341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265342 + ... + 268142.

It is an arithmetic number, because the mean of its divisors is an integer number (20216430).

Almost surely, 2747144342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 747144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970388640).

747144342 is an abundant number, since it is smaller than the sum of its proper divisors (1193632938).

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

747144342 is a wasteful number, since it uses less digits than its factorization.

747144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2915 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 747144342 is about 27333.9412086878. The cubic root of 747144342 is about 907.4057020157.

The spelling of 747144342 in words is "seven hundred forty-seven million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 73 87 126 146 174 203 219 261 406 438 511 522 609 657 1022 1218 1314 1533 1827 2117 2801 3066 3654 4234 4599 5602 6351 8403 9198 12702 14819 16806 19053 19607 25209 29638 38106 39214 44457 50418 58821 81229 88914 117642 133371 162458 176463 204473 243687 266742 352926 408946 487374 568603 613419 731061 1137206 1226838 1431311 1462122 1705809 1840257 2862622 3411618 3680514 4293933 5117427 5929717 8587866 10234854 11859434 12881799 17789151 25763598 35578302 41508019 53367453 83016038 106734906 124524057 249048114 373572171 747144342