Search a number
-
+
3009229236 = 2232136429977
BaseRepresentation
bin1011001101011101…
…0011000110110100
321202201101200110200
42303113103012310
522130330313421
61214334120500
7134400012036
oct26327230664
97681350420
103009229236
1113046a4512
126bb950130
1338c596320
14207929c56
151292b8726
hexb35d31b4

3009229236 has 36 divisors (see below), whose sum is σ = 8191791972. Its totient is φ = 925916544.

The previous prime is 3009229229. The next prime is 3009229243. The reversal of 3009229236 is 6329229003.

It is an interprime number because it is at equal distance from previous prime (3009229229) and next prime (3009229243).

It can be written as a sum of positive squares in 2 ways, for example, as 211877136 + 2797352100 = 14556^2 + 52890^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3009229236.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3214521 + ... + 3215456.

It is an arithmetic number, because the mean of its divisors is an integer number (227549777).

Almost surely, 23009229236 is an apocalyptic number.

3009229236 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3009229236 is an abundant number, since it is smaller than the sum of its proper divisors (5182562736).

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

3009229236 is a wasteful number, since it uses less digits than its factorization.

3009229236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430000 (or 6429995 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3009229236 is about 54856.4420647202. The cubic root of 3009229236 is about 1443.7270408673.

The spelling of 3009229236 in words is "three billion, nine million, two hundred twenty-nine thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6429977 12859954 19289931 25719908 38579862 57869793 77159724 83589701 115739586 167179402 231479172 250769103 334358804 501538206 752307309 1003076412 1504614618 3009229236