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3744000441 = 33138666683
BaseRepresentation
bin1101111100101000…
…1110100110111001
3100122220222221002000
43133022032212321
530131431003231
61415302531213
7161531323116
oct33712164671
910586887060
103744000441
111651432a45
12885a36b09
1347888b29c
1427735590d
1516da586e6
hexdf28e9b9

3744000441 has 8 divisors (see below), whose sum is σ = 5546667360. Its totient is φ = 2496000276.

The previous prime is 3744000439. The next prime is 3744000443. The reversal of 3744000441 is 1440004473.

It is an interprime number because it is at equal distance from previous prime (3744000439) and next prime (3744000443).

It is not a de Polignac number, because 3744000441 - 21 = 3744000439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 138666683 = 3744000441 / (3 + 7 + 4 + 4 + 0 + 0 + 0 + 4 + 4 + 1).

It is not an unprimeable number, because it can be changed into a prime (3744000443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69333315 + ... + 69333368.

It is an arithmetic number, because the mean of its divisors is an integer number (693333420).

Almost surely, 23744000441 is an apocalyptic number.

It is an amenable number.

3744000441 is a deficient number, since it is larger than the sum of its proper divisors (1802666919).

3744000441 is a wasteful number, since it uses less digits than its factorization.

3744000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138666692 (or 138666686 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3744000441 is about 61188.2377667473. The cubic root of 3744000441 is about 1552.7872762981.

The spelling of 3744000441 in words is "three billion, seven hundred forty-four million, four hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 27 138666683 416000049 1248000147 3744000441