Search a number
-
+
3425156280 = 2334571311617
BaseRepresentation
bin1100110000100111…
…1011110010111000
322211201000222010000
43030021323302320
524003320000110
61323512553000
7150610230240
oct31411736270
98751028100
103425156280
1114a8458677
127b70b2760
134277c31c0
14246c78b20
15150a761c0
hexcc27bcb8

3425156280 has 320 divisors, whose sum is σ = 14170242240. Its totient is φ = 722608128.

The previous prime is 3425156279. The next prime is 3425156333. The reversal of 3425156280 is 826515243.

3425156280 is a `hidden beast` number, since 3 + 4 + 2 + 515 + 62 + 80 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 289032 + ... + 300648.

It is an arithmetic number, because the mean of its divisors is an integer number (44282007).

Almost surely, 23425156280 is an apocalyptic number.

3425156280 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 3425156280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085121120).

3425156280 is an abundant number, since it is smaller than the sum of its proper divisors (10745085960).

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

3425156280 is a wasteful number, since it uses less digits than its factorization.

3425156280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11660 (or 11647 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3425156280 is about 58524.8347285150. The cubic root of 3425156280 is about 1507.3940521071.

The spelling of 3425156280 in words is "three billion, four hundred twenty-five million, one hundred fifty-six thousand, two hundred eighty".