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34312350 = 23523147157
BaseRepresentation
bin1000001011100…
…1000010011110
32101120020200210
42002321002132
532240443400
63223233250
7564436002
oct202710236
971506623
1034312350
1118406416
12b5a8826
137154a87
1447b2702
15302b950
hex20b909e

34312350 has 96 divisors (see below), whose sum is σ = 90279936. Its totient is φ = 8611200.

The previous prime is 34312349. The next prime is 34312363. The reversal of 34312350 is 5321343.

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 47 ways as a sum of consecutive naturals, for example, 218472 + ... + 218628.

It is an arithmetic number, because the mean of its divisors is an integer number (940416).

Almost surely, 234312350 is an apocalyptic number.

34312350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34312350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45139968).

34312350 is an abundant number, since it is smaller than the sum of its proper divisors (55967586).

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

34312350 is a wasteful number, since it uses less digits than its factorization.

34312350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 34312350 is about 5857.6744532280. The cubic root of 34312350 is about 324.9502093349.

Adding to 34312350 its reverse (5321343), we get a palindrome (39633693).

The spelling of 34312350 in words is "thirty-four million, three hundred twelve thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 47 50 62 75 93 94 141 150 155 157 186 235 282 310 314 465 470 471 705 775 785 930 942 1175 1410 1457 1550 1570 2325 2350 2355 2914 3525 3925 4371 4650 4710 4867 7050 7285 7379 7850 8742 9734 11775 14570 14601 14758 21855 22137 23550 24335 29202 36425 36895 43710 44274 48670 72850 73005 73790 109275 110685 121675 146010 184475 218550 221370 228749 243350 365025 368950 457498 553425 686247 730050 1106850 1143745 1372494 2287490 3431235 5718725 6862470 11437450 17156175 34312350