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3083021424 = 243273198663
BaseRepresentation
bin1011011111000011…
…0010110001110000
321221212020201022200
42313300302301300
522303223141144
61225531503200
7136254151440
oct26760626160
97855221280
103083021424
11134231569a
127205b7b00
133a1961c42
14213658120
151309e2c69
hexb7c32c70

3083021424 has 120 divisors (see below), whose sum is σ = 10178967552. Its totient is φ = 852439680.

The previous prime is 3083021423. The next prime is 3083021437. The reversal of 3083021424 is 4241203803.

3083021424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30830214242 = 19010042201685975552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083021423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18084 + ... + 80579.

Almost surely, 23083021424 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 3083021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089483776).

3083021424 is an abundant number, since it is smaller than the sum of its proper divisors (7095946128).

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

3083021424 is a wasteful number, since it uses less digits than its factorization.

3083021424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98715 (or 98706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3083021424 is about 55524.9621701807. The cubic root of 3083021424 is about 1455.4328764809.

The spelling of 3083021424 in words is "three billion, eighty-three million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 98663 197326 295989 394652 591978 690641 789304 887967 1183956 1381282 1578608 1775934 2071923 2367912 2762564 3058553 3551868 4143846 4735824 5525128 6117106 6215769 7103736 8287692 9175659 11050256 12234212 12431538 14207472 16575384 18351318 21409871 24468424 24863076 27526977 33150768 36702636 42819742 48936848 49726152 55053954 64229613 73405272 85639484 99452304 110107908 128459226 146810544 171278968 192688839 220215816 256918452 342557936 385377678 440431632 513836904 770755356 1027673808 1541510712 3083021424