Search a number
-
+
3201204030 = 235737918503
BaseRepresentation
bin1011111011001110…
…0111111100111110
322021002122000101020
42332303213330332
523024002012110
61245352525010
7142220533233
oct27663477476
98232560336
103201204030
1113a2aa5a72
127540b0766
133c02a088b
1422521d78a
1513b089d70
hexbece7f3e

3201204030 has 64 divisors (see below), whose sum is σ = 7887144960. Its totient is φ = 831257856.

The previous prime is 3201204011. The next prime is 3201204043. The reversal of 3201204030 is 304021023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163759 + ... + 182261.

It is an arithmetic number, because the mean of its divisors is an integer number (123236640).

Almost surely, 23201204030 is an apocalyptic number.

3201204030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201204030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943572480).

3201204030 is an abundant number, since it is smaller than the sum of its proper divisors (4685940930).

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

3201204030 is a wasteful number, since it uses less digits than its factorization.

3201204030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18665.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3201204030 is about 56579.1837162750. The cubic root of 3201204030 is about 1473.7973964661.

Adding to 3201204030 its reverse (304021023), we get a palindrome (3505225053).

The spelling of 3201204030 in words is "three billion, two hundred one million, two hundred four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 73 79 146 158 219 237 365 395 438 474 730 790 1095 1185 2190 2370 5767 11534 17301 18503 28835 34602 37006 55509 57670 86505 92515 111018 173010 185030 277545 555090 1350719 1461737 2701438 2923474 4052157 4385211 6753595 7308685 8104314 8770422 13507190 14617370 20260785 21926055 40521570 43852110 106706801 213413602 320120403 533534005 640240806 1067068010 1600602015 3201204030