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34849350 = 23252431801
BaseRepresentation
bin1000010011110…
…0001001000110
32102120112022200
42010330021012
532410134400
63242535330
7602133414
oct204741106
972515280
1034849350
1118742918
12b807546
1372b2323
1448b22b4
1530d5b00
hex213c246

34849350 has 72 divisors (see below), whose sum is σ = 95859192. Its totient is φ = 9072000.

The previous prime is 34849333. The next prime is 34849351. The reversal of 34849350 is 5394843.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34849351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18450 + ... + 20250.

Almost surely, 234849350 is an apocalyptic number.

34849350 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 34849350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47929596).

34849350 is an abundant number, since it is smaller than the sum of its proper divisors (61009842).

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

34849350 is a wasteful number, since it uses less digits than its factorization.

34849350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34849350 is about 5903.3338038773. Note that the first 3 decimals coincide. The cubic root of 34849350 is about 326.6366359084.

The spelling of 34849350 in words is "thirty-four million, eight hundred forty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1290 1801 1935 2150 3225 3602 3870 5403 6450 9005 9675 10806 16209 18010 19350 27015 32418 45025 54030 77443 81045 90050 135075 154886 162090 232329 270150 387215 405225 464658 696987 774430 810450 1161645 1393974 1936075 2323290 3484935 3872150 5808225 6969870 11616450 17424675 34849350