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3744066704 = 247375317047
BaseRepresentation
bin1101111100101001…
…1110110010010000
3100122221010021222012
43133022132302100
530131440113304
61415304202052
7161532020240
oct33712366220
910587107865
103744066704
111651478804
12885a69328
134788b24b1
14277371b20
1516da6d16e
hexdf29ec90

3744066704 has 80 divisors (see below), whose sum is σ = 8675659008. Its totient is φ = 1531685376.

The previous prime is 3744066701. The next prime is 3744066709. The reversal of 3744066704 is 4076604473.

It is not an unprimeable number, because it can be changed into a prime (3744066701) 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, 211109 + ... + 228155.

Almost surely, 23744066704 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 3744066704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337829504).

3744066704 is an abundant number, since it is smaller than the sum of its proper divisors (4931592304).

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

3744066704 is a wasteful number, since it uses less digits than its factorization.

3744066704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17152 (or 17146 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 41.

The square root of 3744066704 is about 61188.7792327972. The cubic root of 3744066704 is about 1552.7964368860.

The spelling of 3744066704 in words is "three billion, seven hundred forty-four million, sixty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 37 53 56 74 106 112 148 212 259 296 371 424 518 592 742 848 1036 1484 1961 2072 2968 3922 4144 5936 7844 13727 15688 17047 27454 31376 34094 54908 68188 109816 119329 136376 219632 238658 272752 477316 630739 903491 954632 1261478 1806982 1909264 2522956 3613964 4415173 5045912 6324437 7227928 8830346 10091824 12648874 14455856 17660692 25297748 33429167 35321384 50595496 66858334 70642768 101190992 133716668 234004169 267433336 468008338 534866672 936016676 1872033352 3744066704