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873729342 = 23529471319
BaseRepresentation
bin110100000101000…
…000110100111110
32020220002001100000
4310011000310332
53242133314332
6222411015130
730436401603
oct6405006476
92226061300
10873729342
11409219872
1220473a4a6
1310c029015
148407c6aa
1551a8cb7c
hex34140d3e

873729342 has 96 divisors (see below), whose sum is σ = 2075673600. Its totient is φ = 275008608.

The previous prime is 873729323. The next prime is 873729349. The reversal of 873729342 is 243927378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873729349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661759 + ... + 663077.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 2873729342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873729342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

873729342 is an abundant number, since it is smaller than the sum of its proper divisors (1201944258).

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

873729342 is a wasteful number, since it uses less digits than its factorization.

873729342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1400 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 873729342 is about 29558.9130720329. The cubic root of 873729342 is about 956.0023801753.

The spelling of 873729342 in words is "eight hundred seventy-three million, seven hundred twenty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 47 54 58 81 87 94 141 162 174 243 261 282 423 486 522 783 846 1269 1319 1363 1566 2349 2538 2638 2726 3807 3957 4089 4698 7047 7614 7914 8178 11421 11871 12267 14094 22842 23742 24534 35613 36801 38251 61993 71226 73602 76502 106839 110403 114753 123986 185979 213678 220806 229506 320517 331209 344259 371958 557937 641034 662418 688518 1032777 1115874 1673811 1797797 2065554 3098331 3347622 3595594 5021433 5393391 6196662 9294993 10042866 10786782 15064299 16180173 18589986 30128598 32360346 48540519 97081038 145621557 291243114 436864671 873729342