Search a number
-
+
3472134120 = 233357413103
BaseRepresentation
bin1100111011110100…
…1000111111101000
322221222102200121000
43032331020333220
524102331242440
61332311515000
7152020440000
oct31675107750
98858380530
103472134120
111521a24834
1280a988a60
13434460b40
1424d1c7000
15154c55730
hexcef48fe8

3472134120 has 640 divisors, whose sum is σ = 14681721600. Its totient is φ = 725469696.

The previous prime is 3472134101. The next prime is 3472134139. The reversal of 3472134120 is 214312743.

It is a happy number.

3472134120 is a `hidden beast` number, since 34 + 7 + 213 + 412 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3472134101) and next prime (3472134139).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33709989 + ... + 33710091.

It is an arithmetic number, because the mean of its divisors is an integer number (22940190).

Almost surely, 23472134120 is an apocalyptic number.

3472134120 is a gapful number since it is divisible by the number (30) 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 3472134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340860800).

3472134120 is an abundant number, since it is smaller than the sum of its proper divisors (11209587480).

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

3472134120 is a wasteful number, since it uses less digits than its factorization.

3472134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3472134120 is about 58924.8175219915. The cubic root of 3472134120 is about 1514.2543531961.

Adding to 3472134120 its reverse (214312743), we get a palindrome (3686446863).

The spelling of 3472134120 in words is "three billion, four hundred seventy-two million, one hundred thirty-four thousand, one hundred twenty".