Search a number
-
+
34281940 = 225711113197
BaseRepresentation
bin1000001011000…
…1100111010100
32101111200222111
42002301213110
532234010230
63222440404
7564251230
oct202614724
971450874
1034281940
1118395590
12b593104
137143c94
1447a55c0
15302292a
hex20b19d4

34281940 has 96 divisors (see below), whose sum is σ = 91010304. Its totient is φ = 10536960.

The previous prime is 34281931. The next prime is 34281959. The reversal of 34281940 is 4918243.

It is a congruent number.

It is an unprimeable 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, 173922 + ... + 174118.

It is an arithmetic number, because the mean of its divisors is an integer number (948024).

Almost surely, 234281940 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 34281940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45505152).

34281940 is an abundant number, since it is smaller than the sum of its proper divisors (56728364).

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

34281940 is a wasteful number, since it uses less digits than its factorization.

34281940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 34281940 is about 5855.0781378219. The cubic root of 34281940 is about 324.8541831072.

The spelling of 34281940 in words is "thirty-four million, two hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 113 140 154 197 220 226 308 385 394 452 565 770 788 791 985 1130 1243 1379 1540 1582 1970 2167 2260 2486 2758 3164 3940 3955 4334 4972 5516 6215 6895 7910 8668 8701 10835 12430 13790 15169 15820 17402 21670 22261 24860 27580 30338 34804 43340 43505 44522 60676 75845 87010 89044 111305 151690 155827 174020 222610 244871 303380 311654 445220 489742 623308 779135 979484 1224355 1558270 1714097 2448710 3116540 3428194 4897420 6856388 8570485 17140970 34281940