Search a number
-
+
3366640172 = 2271931719963
BaseRepresentation
bin1100100010101010…
…1101101000101100
322200121221001002202
43020222231220230
523343324441142
61314022441032
7146266653320
oct31052555054
98617831082
103366640172
111478420655
1279b593178
1341864579c
1423d1a5980
1514a868032
hexc8aada2c

3366640172 has 48 divisors (see below), whose sum is σ = 7110378240. Its totient is φ = 1362526272.

The previous prime is 3366640141. The next prime is 3366640177. The reversal of 3366640172 is 2710466633.

It is a super-2 number, since 2×33666401722 = 22668532095448379168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (3366640177) 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, 158663 + ... + 178625.

It is an arithmetic number, because the mean of its divisors is an integer number (148132880).

Almost surely, 23366640172 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 3366640172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555189120).

3366640172 is an abundant number, since it is smaller than the sum of its proper divisors (3743738068).

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

3366640172 is a wasteful number, since it uses less digits than its factorization.

3366640172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20310 (or 20308 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 3366640172 is about 58022.7556394903. The cubic root of 3366640172 is about 1498.7604829768.

The spelling of 3366640172 in words is "three billion, three hundred sixty-six million, six hundred forty thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 317 532 634 1268 2219 4438 6023 8876 12046 19963 24092 39926 42161 79852 84322 139741 168644 279482 379297 558964 758594 1517188 2655079 5310158 6328271 10620316 12656542 25313084 44297897 88595794 120237149 177191588 240474298 480948596 841660043 1683320086 3366640172