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3245142864 = 2432321113931
BaseRepresentation
bin1100000101101100…
…1111001101010000
322101011022100010110
43001123033031100
523121224032424
61254002401320
7143263154625
oct30133171520
98334270113
103245142864
111415886957
12766960240
133c94161a2
1422adba34c
1513ed68c29
hexc16cf350

3245142864 has 80 divisors (see below), whose sum is σ = 8789865984. Its totient is φ = 1029705600.

The previous prime is 3245142863. The next prime is 3245142893. The reversal of 3245142864 is 4682415423.

It is a super-3 number, since 3×32451428643 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245142863) 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, 225979 + ... + 239909.

Almost surely, 23245142864 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 3245142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394932992).

3245142864 is an abundant number, since it is smaller than the sum of its proper divisors (5544723120).

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

3245142864 is a wasteful number, since it uses less digits than its factorization.

3245142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14176 (or 14170 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 3245142864 is about 56966.1554258316. The cubic root of 3245142864 is about 1480.5097562283.

The spelling of 3245142864 in words is "three billion, two hundred forty-five million, one hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 211 276 368 422 552 633 844 1104 1266 1688 2532 3376 4853 5064 9706 10128 13931 14559 19412 27862 29118 38824 41793 55724 58236 77648 83586 111448 116472 167172 222896 232944 320413 334344 640826 668688 961239 1281652 1922478 2563304 2939441 3844956 5126608 5878882 7689912 8818323 11757764 15379824 17636646 23515528 35273292 47031056 67607143 70546584 135214286 141093168 202821429 270428572 405642858 540857144 811285716 1081714288 1622571432 3245142864