Search a number
-
+
34996950 = 2325283937
BaseRepresentation
bin1000010110000…
…0001011010110
32102212000210100
42011200023112
532424400300
63250034530
7603316632
oct205401326
972760710
1034996950
11188337aa
12b878a46
137334571
14490ddc2
153114700
hex21602d6

34996950 has 72 divisors (see below), whose sum is σ = 95259528. Its totient is φ = 9210240.

The previous prime is 34996937. The next prime is 34996963. The reversal of 34996950 is 5969943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34996937) and next prime (34996963).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 34996896 and 34996905.

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, 36882 + ... + 37818.

It is an arithmetic number, because the mean of its divisors is an integer number (1323049).

Almost surely, 234996950 is an apocalyptic number.

34996950 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 34996950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47629764).

34996950 is an abundant number, since it is smaller than the sum of its proper divisors (60262578).

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

34996950 is a wasteful number, since it uses less digits than its factorization.

34996950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 34996950 is about 5915.8220054359. The cubic root of 34996950 is about 327.0971290740.

The spelling of 34996950 in words is "thirty-four million, nine hundred ninety-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 83 90 150 166 225 249 415 450 498 747 830 937 1245 1494 1874 2075 2490 2811 3735 4150 4685 5622 6225 7470 8433 9370 12450 14055 16866 18675 23425 28110 37350 42165 46850 70275 77771 84330 140550 155542 210825 233313 388855 421650 466626 699939 777710 1166565 1399878 1944275 2333130 3499695 3888550 5832825 6999390 11665650 17498475 34996950