Search a number
-
+
3370248 = 23347743
BaseRepresentation
bin1100110110110100001000
320100020010000
430312310020
51330321443
6200123000
740434540
oct14666410
96306100
103370248
1119a2132
121166460
1391003b
1463a320
154688d3
hex336d08

3370248 has 80 divisors (see below), whose sum is σ = 10802880. Its totient is φ = 961632.

The previous prime is 3370243. The next prime is 3370249. The reversal of 3370248 is 8420733.

It is a super-2 number, since 2×33702482 = 22717143163008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3370243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4165 + ... + 4907.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

Almost surely, 23370248 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 3370248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401440).

3370248 is an abundant number, since it is smaller than the sum of its proper divisors (7432632).

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

3370248 is a wasteful number, since it uses less digits than its factorization.

3370248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3370248 is about 1835.8235209300. The cubic root of 3370248 is about 149.9295669331.

The spelling of 3370248 in words is "three million, three hundred seventy thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 743 756 1134 1486 1512 2229 2268 2972 4458 4536 5201 5944 6687 8916 10402 13374 15603 17832 20061 20804 26748 31206 40122 41608 46809 53496 60183 62412 80244 93618 120366 124824 140427 160488 187236 240732 280854 374472 421281 481464 561708 842562 1123416 1685124 3370248