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3874432224 = 253133104513
BaseRepresentation
bin1110011011101111…
…0010010011100000
3101000000102112211210
43212323302103200
530413323312344
61440242310120
7165004062525
oct34673622340
911000375753
103874432224
11170901a303
12901658340
134998c8460
1428a7c914c
1517a21edb9
hexe6ef24e0

3874432224 has 48 divisors (see below), whose sum is σ = 10952725392. Its totient is φ = 1192132608.

The previous prime is 3874432223. The next prime is 3874432259. The reversal of 3874432224 is 4222344783.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×38744322242 = 30022450116739172352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874432223) 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 7 ways as a sum of consecutive naturals, for example, 1551009 + ... + 1553504.

It is an arithmetic number, because the mean of its divisors is an integer number (228181779).

Almost surely, 23874432224 is an apocalyptic number.

It is an amenable number.

3874432224 is an abundant number, since it is smaller than the sum of its proper divisors (7078293168).

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

3874432224 is a wasteful number, since it uses less digits than its factorization.

3874432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104539 (or 3104531 counting only the distinct ones).

The product of its digits is 258048, while the sum is 39.

The square root of 3874432224 is about 62244.9373363007. The cubic root of 3874432224 is about 1570.6136084468.

The spelling of 3874432224 in words is "three billion, eight hundred seventy-four million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3104513 6209026 9313539 12418052 18627078 24836104 37254156 40358669 49672208 74508312 80717338 99344416 121076007 149016624 161434676 242152014 298033248 322869352 484304028 645738704 968608056 1291477408 1937216112 3874432224