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742338 = 23359233
BaseRepresentation
bin10110101001111000010
31101201022000
42311033002
5142223323
623524430
76211152
oct2651702
91351260
10742338
11467803
122b9716
131ccb6c
14154762
15e9e43
hexb53c2

742338 has 32 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 242208.

The previous prime is 742333. The next prime is 742351. The reversal of 742338 is 833247.

742338 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 (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (742333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070 + ... + 3302.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

2742338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842400).

742338 is an abundant number, since it is smaller than the sum of its proper divisors (942462).

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

742338 is a wasteful number, since it uses less digits than its factorization.

742338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 742338 is about 861.5903899186. The cubic root of 742338 is about 90.5455749612.

Subtracting 742338 from its reverse (833247), we obtain a palindrome (90909).

The spelling of 742338 in words is "seven hundred forty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 233 354 466 531 699 1062 1398 1593 2097 3186 4194 6291 12582 13747 27494 41241 82482 123723 247446 371169 742338