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3423200500 = 225314945949
BaseRepresentation
bin1100110000001001…
…1110010011110100
322211120100121021201
43030002132103310
524002314404000
61323403022244
7150554503246
oct31402362364
98746317251
103423200500
1114a7342225
127b650a984
13427289c35
142468ca096
151507db96a
hexcc09e4f4

3423200500 has 48 divisors (see below), whose sum is σ = 7526610000. Its totient is φ = 1360060800.

The previous prime is 3423200483. The next prime is 3423200507. The reversal of 3423200500 is 50023243.

It can be written as a sum of positive squares in 8 ways, for example, as 1197436816 + 2225763684 = 34604^2 + 47178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423200507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51526 + ... + 97474.

It is an arithmetic number, because the mean of its divisors is an integer number (156804375).

Almost surely, 23423200500 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 3423200500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763305000).

3423200500 is an abundant number, since it is smaller than the sum of its proper divisors (4103409500).

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

3423200500 is a wasteful number, since it uses less digits than its factorization.

3423200500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46117 (or 46105 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 3423200500 is about 58508.1233676145. The cubic root of 3423200500 is about 1507.1070878337.

Adding to 3423200500 its reverse (50023243), we get a palindrome (3473223743).

The spelling of 3423200500 in words is "three billion, four hundred twenty-three million, two hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 149 250 298 500 596 745 1490 2980 3725 7450 14900 18625 37250 45949 74500 91898 183796 229745 459490 918980 1148725 2297450 4594900 5743625 6846401 11487250 13692802 22974500 27385604 34232005 68464010 136928020 171160025 342320050 684640100 855800125 1711600250 3423200500