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34114700 = 22521133019
BaseRepresentation
bin1000001000100…
…0110010001100
32101012012120102
42002020302030
532213132300
63215110232
7562653524
oct202106214
971165512
1034114700
1118290974
12b512378
1370b5b19
144760684
152edd0d5
hex2088c8c

34114700 has 36 divisors (see below), whose sum is σ = 74708760. Its totient is φ = 13520640.

The previous prime is 34114667. The next prime is 34114723. The reversal of 34114700 is 741143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9791 + ... + 12809.

Almost surely, 234114700 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 34114700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37354380).

34114700 is an abundant number, since it is smaller than the sum of its proper divisors (40594060).

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

34114700 is a wasteful number, since it uses less digits than its factorization.

34114700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 34114700 is about 5840.7790576258. The cubic root of 34114700 is about 324.3250687608.

Adding to 34114700 its reverse (741143), we get a palindrome (34855843).

The spelling of 34114700 in words is "thirty-four million, one hundred fourteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 3019 5650 6038 11300 12076 15095 30190 60380 75475 150950 301900 341147 682294 1364588 1705735 3411470 6822940 8528675 17057350 34114700