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3132430064 = 241737439709
BaseRepresentation
bin1011101010110101…
…0001011011110000
322002022012221020022
42322231101123300
522403400230224
61234454503012
7140424134111
oct27255213360
98068187208
103132430064
1113681a2085
12735064a68
133abc7111a
1421a03a208
1513500265e
hexbab516f0

3132430064 has 80 divisors (see below), whose sum is σ = 6624129600. Its totient is φ = 1428959232.

The previous prime is 3132430039. The next prime is 3132430069. The reversal of 3132430064 is 4600342313.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132430069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4417742 + ... + 4418450.

It is an arithmetic number, because the mean of its divisors is an integer number (82801620).

Almost surely, 23132430064 is an apocalyptic number.

3132430064 is a gapful number since it is divisible by the number (34) 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 3132430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312064800).

3132430064 is an abundant number, since it is smaller than the sum of its proper divisors (3491699536).

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

3132430064 is a wasteful number, since it uses less digits than its factorization.

3132430064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3132430064 is about 55968.1164950188. The cubic root of 3132430064 is about 1463.1666527437.

Adding to 3132430064 its reverse (4600342313), we get a palindrome (7732772377).

The spelling of 3132430064 in words is "three billion, one hundred thirty-two million, four hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 439 592 629 709 878 1258 1418 1756 2516 2836 3512 5032 5672 7024 7463 10064 11344 12053 14926 16243 24106 26233 29852 32486 48212 52466 59704 64972 96424 104932 119408 129944 192848 209864 259888 276131 311251 419728 445961 552262 622502 891922 1104524 1245004 1783844 2209048 2490008 3567688 4418096 4980016 5291267 7135376 10582534 11516287 21165068 23032574 42330136 46065148 84660272 92130296 184260592 195776879 391553758 783107516 1566215032 3132430064