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4731342 = 237311219
BaseRepresentation
bin10010000011000111001110
322220101011220
4102003013032
52202400332
6245224210
755134000
oct22030716
98811156
104731342
112741800
121702066
13c98715
148b2370
15636d2c
hex4831ce

4731342 has 96 divisors (see below), whose sum is σ = 12768000. Its totient is φ = 1164240.

The previous prime is 4731341. The next prime is 4731367. The reversal of 4731342 is 2431374.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2016) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4731341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249009 + ... + 249027.

It is an arithmetic number, because the mean of its divisors is an integer number (133000).

Almost surely, 24731342 is an apocalyptic number.

4731342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4731342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384000).

4731342 is an abundant number, since it is smaller than the sum of its proper divisors (8036658).

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

4731342 is a wasteful number, since it uses less digits than its factorization.

4731342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 4731342 is about 2175.1648213411. The cubic root of 4731342 is about 167.8783842054.

Subtracting from 4731342 its reverse (2431374), we obtain a cube (2299968 = 1323).

The spelling of 4731342 in words is "four million, seven hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 121 133 147 154 209 231 242 266 294 343 363 399 418 462 539 627 686 726 798 847 931 1029 1078 1254 1463 1617 1694 1862 2058 2299 2541 2793 2926 3234 3773 4389 4598 5082 5586 5929 6517 6897 7546 8778 10241 11319 11858 13034 13794 16093 17787 19551 20482 22638 30723 32186 35574 39102 41503 48279 61446 71687 83006 96558 112651 124509 143374 215061 225302 249018 337953 430122 675906 788557 1577114 2365671 4731342