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34414350 = 2352313733
BaseRepresentation
bin1000001101000…
…1111100001110
32101202102121120
42003101330032
532302224400
63225341410
7565342245
oct203217416
971672546
1034414350
1118476013
12b637866
13718c329
1447db95c
15304bca0
hex20d1f0e

34414350 has 48 divisors (see below), whose sum is σ = 85737072. Its totient is φ = 9135360.

The previous prime is 34414343. The next prime is 34414379. The reversal of 34414350 is 5341443.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34414350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46584 + ... + 47316.

It is an arithmetic number, because the mean of its divisors is an integer number (1786189).

Almost surely, 234414350 is an apocalyptic number.

34414350 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 34414350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42868536).

34414350 is an abundant number, since it is smaller than the sum of its proper divisors (51322722).

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

34414350 is a wasteful number, since it uses less digits than its factorization.

34414350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34414350 is about 5866.3745192410. The cubic root of 34414350 is about 325.2718829430.

Adding to 34414350 its reverse (5341443), we get a palindrome (39755793).

The spelling of 34414350 in words is "thirty-four million, four hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 313 626 733 939 1466 1565 1878 2199 3130 3665 4398 4695 7330 7825 9390 10995 15650 18325 21990 23475 36650 46950 54975 109950 229429 458858 688287 1147145 1376574 2294290 3441435 5735725 6882870 11471450 17207175 34414350