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3380310 = 232523271
BaseRepresentation
bin1100111001010001010110
320100201220200
430321101112
51331132220
6200241330
740506063
oct14712126
96321820
103380310
1119a974a
121170246
139147ab
1463dc6a
1546b890
hex339456

3380310 has 72 divisors (see below), whose sum is σ = 9316944. Its totient is φ = 850080.

The previous prime is 3380281. The next prime is 3380317. The reversal of 3380310 is 130833.

3380310 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 2×33803102 = 22852991392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380317) 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 35 ways as a sum of consecutive naturals, for example, 47575 + ... + 47645.

It is an arithmetic number, because the mean of its divisors is an integer number (129402).

Almost surely, 23380310 is an apocalyptic number.

3380310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658472).

3380310 is an abundant number, since it is smaller than the sum of its proper divisors (5936634).

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

3380310 is a wasteful number, since it uses less digits than its factorization.

3380310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3380310 is about 1838.5619380374. The cubic root of 3380310 is about 150.0786254464.

The spelling of 3380310 in words is "three million, three hundred eighty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 71 90 115 138 142 207 213 230 345 355 414 426 529 639 690 710 1035 1058 1065 1278 1587 1633 2070 2130 2645 3174 3195 3266 4761 4899 5290 6390 7935 8165 9522 9798 14697 15870 16330 23805 24495 29394 37559 47610 48990 73485 75118 112677 146970 187795 225354 338031 375590 563385 676062 1126770 1690155 3380310