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3370068 = 22321319379
BaseRepresentation
bin1100110110110001010100
320100012212100
430312301110
51330320233
6200122100
740434162
oct14666124
96305770
103370068
1119a1a89
121166330
1390cc30
1463a232
15468813
hex336c54

3370068 has 72 divisors (see below), whose sum is σ = 9682400. Its totient is φ = 979776.

The previous prime is 3370051. The next prime is 3370069. The reversal of 3370068 is 8600733.

It is a happy number.

3370068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33700682 = 22714716649248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8703 + ... + 9081.

Almost surely, 23370068 is an apocalyptic number.

3370068 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3370068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841200).

3370068 is an abundant number, since it is smaller than the sum of its proper divisors (6312332).

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

3370068 is a wasteful number, since it uses less digits than its factorization.

3370068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3370068 is about 1835.7744959553. The cubic root of 3370068 is about 149.9268977128.

The spelling of 3370068 in words is "three million, three hundred seventy thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 379 468 494 684 741 758 988 1137 1482 1516 2223 2274 2964 3411 4446 4548 4927 6822 7201 8892 9854 13644 14402 14781 19708 21603 28804 29562 43206 44343 59124 64809 86412 88686 93613 129618 177372 187226 259236 280839 374452 561678 842517 1123356 1685034 3370068