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34132950 = 23252101751
BaseRepresentation
bin1000001000110…
…1001111010110
32101020010121100
42002031033112
532214223300
63215330530
7563060655
oct202151726
971203540
1034132950
11182a3655
12b520a46
1370c1217
14476719c
152ee3700
hex208d3d6

34132950 has 72 divisors (see below), whose sum is σ = 92735136. Its totient is φ = 9000000.

The previous prime is 34132939. The next prime is 34132999. The reversal of 34132950 is 5923143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45075 + ... + 45825.

It is an arithmetic number, because the mean of its divisors is an integer number (1287988).

Almost surely, 234132950 is an apocalyptic number.

34132950 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 34132950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46367568).

34132950 is an abundant number, since it is smaller than the sum of its proper divisors (58602186).

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

34132950 is a wasteful number, since it uses less digits than its factorization.

34132950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34132950 is about 5842.3411403306. The cubic root of 34132950 is about 324.3828920975.

The spelling of 34132950 in words is "thirty-four million, one hundred thirty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 150 202 225 303 450 505 606 751 909 1010 1502 1515 1818 2253 2525 3030 3755 4506 4545 5050 6759 7510 7575 9090 11265 13518 15150 18775 22530 22725 33795 37550 45450 56325 67590 75851 112650 151702 168975 227553 337950 379255 455106 682659 758510 1137765 1365318 1896275 2275530 3413295 3792550 5688825 6826590 11377650 17066475 34132950