Search a number
-
+
34830336 = 21135669
BaseRepresentation
bin1000010011011…
…1100000000000
32102112120020110
42010313200000
532404032321
63242311320
7602024112
oct204674000
972476213
1034830336
111872a602
12b7b8540
1372a6788
1448a93b2
1530d0176
hex2137800

34830336 has 48 divisors (see below), whose sum is σ = 92874600. Its totient is φ = 11608064.

The previous prime is 34830311. The next prime is 34830347. The reversal of 34830336 is 63303843.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3310 + ... + 8978.

Almost surely, 234830336 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 34830336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46437300).

34830336 is an abundant number, since it is smaller than the sum of its proper divisors (58044264).

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

34830336 is an equidigital number, since it uses as much as digits as its factorization.

34830336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 34830336 is about 5901.7231382029. The cubic root of 34830336 is about 326.5772201769.

The spelling of 34830336 in words is "thirty-four million, eight hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 5669 6144 11338 17007 22676 34014 45352 68028 90704 136056 181408 272112 362816 544224 725632 1088448 1451264 2176896 2902528 4353792 5805056 8707584 11610112 17415168 34830336