Search a number
-
+
3495130272 = 253218167049
BaseRepresentation
bin1101000001010011…
…0111010010100000
3100000120201000101100
43100110313102200
524124223132042
61334452434400
7152420055114
oct32024672240
910016630340
103495130272
111533a01117
12816618a00
13439152c2a
14252291744
15156c9924c
hexd05374a0

3495130272 has 72 divisors (see below), whose sum is σ = 9994338900. Its totient is φ = 1158589440.

The previous prime is 3495130267. The next prime is 3495130279. The reversal of 3495130272 is 2720315943.

3495130272 is a `hidden beast` number, since 349 + 5 + 1 + 302 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2945884176 + 549246096 = 54276^2 + 23436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3495130279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18604 + ... + 85652.

Almost surely, 23495130272 is an apocalyptic number.

3495130272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3495130272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997169450).

3495130272 is an abundant number, since it is smaller than the sum of its proper divisors (6499208628).

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

3495130272 is a wasteful number, since it uses less digits than its factorization.

3495130272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67246 (or 67235 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3495130272 is about 59119.6267917855. The cubic root of 3495130272 is about 1517.5899989958.

The spelling of 3495130272 in words is "three billion, four hundred ninety-five million, one hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 288 362 543 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 13032 17376 26064 52128 67049 134098 201147 268196 402294 536392 603441 804588 1072784 1206882 1609176 2145568 2413764 3218352 4827528 6436704 9655056 12135869 19310112 24271738 36407607 48543476 72815214 97086952 109222821 145630428 194173904 218445642 291260856 388347808 436891284 582521712 873782568 1165043424 1747565136 3495130272