Search a number
-
+
34840576 = 2134253
BaseRepresentation
bin1000010011101…
…0000000000000
32102120002021201
42010322000000
532404344301
63242430544
7602066011
oct204720000
972502251
1034840576
1118737271
12b802454
1372ab334
1448ad008
1530d3201
hex213a000

34840576 has 28 divisors (see below), whose sum is σ = 69693282. Its totient is φ = 17416192.

The previous prime is 34840567. The next prime is 34840601. The reversal of 34840576 is 67504843.

It can be written as a sum of positive squares in only one way, i.e., 33918976 + 921600 = 5824^2 + 960^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066 + ... + 10318.

Almost surely, 234840576 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 34840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34846641).

34840576 is an abundant number, since it is smaller than the sum of its proper divisors (34852706).

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

34840576 is an frugal number, since it uses more digits than its factorization.

34840576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 34840576 is about 5902.5906176864. The cubic root of 34840576 is about 326.6092212374.

The spelling of 34840576 in words is "thirty-four million, eight hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4253 8192 8506 17012 34024 68048 136096 272192 544384 1088768 2177536 4355072 8710144 17420288 34840576