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890340 = 2235111971
BaseRepresentation
bin11011001010111100100
31200020022120
43121113210
5211442330
631025540
710365513
oct3312744
91606276
10890340
11558a20
1236b2b0
13252339
1419267a
15128c10
hexd95e4

890340 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 201600.

The previous prime is 890333. The next prime is 890371. The reversal of 890340 is 43098.

890340 = T176 + T177 + ... + T220.

It is a self number, because there is not a number n which added to its sum of digits gives 890340.

It is a congruent number.

It is an unprimeable number.

890340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 31 ways as a sum of consecutive naturals, for example, 12505 + ... + 12575.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2890340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

890340 is an abundant number, since it is smaller than the sum of its proper divisors (2012700).

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

890340 is a wasteful number, since it uses less digits than its factorization.

890340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 890340 is about 943.5782956385. The cubic root of 890340 is about 96.2022645174.

The spelling of 890340 in words is "eight hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 71 76 95 110 114 132 142 165 190 209 213 220 228 284 285 330 355 380 418 426 570 627 660 710 781 836 852 1045 1065 1140 1254 1349 1420 1562 2090 2130 2343 2508 2698 3124 3135 3905 4047 4180 4260 4686 5396 6270 6745 7810 8094 9372 11715 12540 13490 14839 15620 16188 20235 23430 26980 29678 40470 44517 46860 59356 74195 80940 89034 148390 178068 222585 296780 445170 890340