Search a number
-
+
34933128 = 23373127157
BaseRepresentation
bin1000010101000…
…0100110001000
32102201210020120
42011100212020
532420330003
63244423240
7602632566
oct205204610
972653216
1034933128
111879a85a
12b847b20
1373114b9
1448d4a36
153100853
hex2150988

34933128 has 64 divisors (see below), whose sum is σ = 89794560. Its totient is φ = 11321856.

The previous prime is 34933127. The next prime is 34933183. The reversal of 34933128 is 82133943.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34933121) 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, 222426 + ... + 222582.

It is an arithmetic number, because the mean of its divisors is an integer number (1403040).

Almost surely, 234933128 is an apocalyptic number.

It is an amenable number.

34933128 is an abundant number, since it is smaller than the sum of its proper divisors (54861432).

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

34933128 is a wasteful number, since it uses less digits than its factorization.

34933128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 34933128 is about 5910.4253654031. The cubic root of 34933128 is about 326.8981717747.

The spelling of 34933128 in words is "thirty-four million, nine hundred thirty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 73 127 146 157 219 254 292 314 381 438 471 508 584 628 762 876 942 1016 1256 1524 1752 1884 3048 3768 9271 11461 18542 19939 22922 27813 34383 37084 39878 45844 55626 59817 68766 74168 79756 91688 111252 119634 137532 159512 222504 239268 275064 478536 1455547 2911094 4366641 5822188 8733282 11644376 17466564 34933128