Search a number
-
+
3201542424 = 233297557823
BaseRepresentation
bin1011111011010011…
…1010100100011000
322021010021012120100
42332310322210120
523024043324144
61245404055400
7142223442633
oct27664724430
98233235510
103201542424
1113a3207233
12754234560
133c038b902
142252aac1a
1513b105269
hexbed3a918

3201542424 has 96 divisors (see below), whose sum is σ = 8786625120. Its totient is φ = 1053001728.

The previous prime is 3201542419. The next prime is 3201542489. The reversal of 3201542424 is 4242451023.

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 23 ways as a sum of consecutive naturals, for example, 3889677 + ... + 3890499.

It is an arithmetic number, because the mean of its divisors is an integer number (91527345).

Almost surely, 23201542424 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 3201542424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393312560).

3201542424 is an abundant number, since it is smaller than the sum of its proper divisors (5585082696).

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

3201542424 is a wasteful number, since it uses less digits than its factorization.

3201542424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3201542424 is about 56582.1740833630. The cubic root of 3201542424 is about 1473.8493255340.

Adding to 3201542424 its reverse (4242451023), we get a palindrome (7443993447).

The spelling of 3201542424 in words is "three billion, two hundred one million, five hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 557 582 776 823 873 1114 1164 1646 1671 1746 2228 2328 2469 3292 3342 3492 4456 4938 5013 6584 6684 6984 7407 9876 10026 13368 14814 19752 20052 29628 40104 54029 59256 79831 108058 159662 162087 216116 239493 319324 324174 432232 458411 478986 486261 638648 648348 718479 916822 957972 972522 1296696 1375233 1436958 1833644 1915944 1945044 2750466 2873916 3667288 3890088 4125699 5500932 5747832 8251398 11001864 16502796 33005592 44465867 88931734 133397601 177863468 266795202 355726936 400192803 533590404 800385606 1067180808 1600771212 3201542424