Search a number
-
+
34052260 = 22511314993
BaseRepresentation
bin1000000111100…
…1100010100100
32101002000220211
42001321202210
532204133020
63213505204
7562303504
oct201714244
971060824
1034052260
1118248a70
12b4a2204
137093588
144745a04
152ec985a
hex20798a4

34052260 has 48 divisors (see below), whose sum is σ = 80543232. Its totient is φ = 11980800.

The previous prime is 34052231. The next prime is 34052267. The reversal of 34052260 is 6225043.

It is a happy number.

It is a super-2 number, since 2×340522602 = 2319112822215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (34052267) 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, 4324 + ... + 9316.

It is an arithmetic number, because the mean of its divisors is an integer number (1677984).

Almost surely, 234052260 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 34052260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40271616).

34052260 is an abundant number, since it is smaller than the sum of its proper divisors (46490972).

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

34052260 is a wasteful number, since it uses less digits than its factorization.

34052260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 34052260 is about 5835.4314322079. The cubic root of 34052260 is about 324.1270776222.

It can be divided in two parts, 3405 and 2260, that added together give a palindrome (5665).

The spelling of 34052260 in words is "thirty-four million, fifty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 4993 6820 9986 19972 24965 49930 54923 99860 109846 154783 219692 274615 309566 549230 619132 773915 1098460 1547830 1702613 3095660 3405226 6810452 8513065 17026130 34052260