Search a number
-
+
3425153344 = 26293749877
BaseRepresentation
bin1100110000100111…
…1011000101000000
322211201000211002021
43030021323011000
524003314401334
61323512531224
7150610215544
oct31411730500
98751024067
103425153344
1114a8456448
127b70b0b14
134277c1a72
14246c77a24
15150a753b4
hexcc27b140

3425153344 has 56 divisors (see below), whose sum is σ = 7221336840. Its totient is φ = 1608800256.

The previous prime is 3425153321. The next prime is 3425153363. The reversal of 3425153344 is 4433515243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 324000000 + 3101153344 = 18000^2 + 55688^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43734 + ... + 93610.

Almost surely, 23425153344 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 3425153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610668420).

3425153344 is an abundant number, since it is smaller than the sum of its proper divisors (3796183496).

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

3425153344 is a wasteful number, since it uses less digits than its factorization.

3425153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49955 (or 49945 counting only the distinct ones).

The product of its digits is 86400, while the sum is 34.

The square root of 3425153344 is about 58524.8096451411. The cubic root of 3425153344 is about 1507.3936214007.

Adding to 3425153344 its reverse (4433515243), we get a palindrome (7858668587).

The spelling of 3425153344 in words is "three billion, four hundred twenty-five million, one hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 148 232 296 464 592 928 1073 1184 1856 2146 2368 4292 8584 17168 34336 49877 68672 99754 199508 399016 798032 1446433 1596064 1845449 2892866 3192128 3690898 5785732 7381796 11571464 14763592 23142928 29527184 46285856 53518021 59054368 92571712 107036042 118108736 214072084 428144168 856288336 1712576672 3425153344