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34950940 = 2253773647
BaseRepresentation
bin1000010101010…
…0111100011100
32102202200200021
42011110330130
532421412230
63245041524
7603035533
oct205247434
972680607
1034950940
1118802182
12b8562a4
13731963b
1448db31a
153105c7a
hex2154f1c

34950940 has 48 divisors (see below), whose sum is σ = 76531392. Its totient is φ = 13395456.

The previous prime is 34950917. The next prime is 34950947. The reversal of 34950940 is 4905943.

It is a junction number, because it is equal to n+sod(n) for n = 34950896 and 34950905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34950947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53697 + ... + 54343.

It is an arithmetic number, because the mean of its divisors is an integer number (1594404).

Almost surely, 234950940 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 34950940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38265696).

34950940 is an abundant number, since it is smaller than the sum of its proper divisors (41580452).

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

34950940 is a wasteful number, since it uses less digits than its factorization.

34950940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 34950940 is about 5911.9320023153. The cubic root of 34950940 is about 326.9537228729.

The spelling of 34950940 in words is "thirty-four million, nine hundred fifty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 73 74 146 148 185 292 365 370 647 730 740 1294 1460 2588 2701 3235 5402 6470 10804 12940 13505 23939 27010 47231 47878 54020 94462 95756 119695 188924 236155 239390 472310 478780 944620 1747547 3495094 6990188 8737735 17475470 34950940