Search a number
-
+
3706327644 = 2231947933937
BaseRepresentation
bin1101110011101010…
…0001001001011100
3100120022002221201020
43130322201021130
530042304441034
61411435244140
7160563156645
oct33472411134
910508087636
103706327644
1116321418a8
128752a9650
13470b2aaa6
1427234a6cc
1516a5b6249
hexdcea125c

3706327644 has 48 divisors (see below), whose sum is σ = 9122534400. Its totient is φ = 1167941376.

The previous prime is 3706327643. The next prime is 3706327649. The reversal of 3706327644 is 4467236073.

3706327644 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3706327596 and 3706327605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706327643) 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, 92244 + ... + 126180.

It is an arithmetic number, because the mean of its divisors is an integer number (190052800).

Almost surely, 23706327644 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 3706327644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561267200).

3706327644 is an abundant number, since it is smaller than the sum of its proper divisors (5416206756).

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

3706327644 is a wasteful number, since it uses less digits than its factorization.

3706327644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34442 (or 34440 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The square root of 3706327644 is about 60879.6159974749. The cubic root of 3706327644 is about 1547.5615691787.

The spelling of 3706327644 in words is "three billion, seven hundred six million, three hundred twenty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 479 958 1437 1916 2874 5748 9101 18202 27303 33937 36404 54606 67874 101811 109212 135748 203622 407244 644803 1289606 1934409 2579212 3868818 7737636 16255823 32511646 48767469 65023292 97534938 195069876 308860637 617721274 926581911 1235442548 1853163822 3706327644