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3378340 = 225759409
BaseRepresentation
bin1100111000110010100100
320100122012201
430320302210
51331101330
6200224244
740500250
oct14706244
96318181
103378340
1119a8219
12116b084
13913924
1463d260
1546aeca
hex338ca4

3378340 has 48 divisors (see below), whose sum is σ = 8265600. Its totient is φ = 1135872.

The previous prime is 3378337. The next prime is 3378343. The reversal of 3378340 is 438733.

It is an interprime number because it is at equal distance from previous prime (3378337) and next prime (3378343).

It is a super-2 number, since 2×33783402 = 22826362311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3378299 and 3378308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378343) 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, 8056 + ... + 8464.

It is an arithmetic number, because the mean of its divisors is an integer number (172200).

Almost surely, 23378340 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 3378340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132800).

3378340 is an abundant number, since it is smaller than the sum of its proper divisors (4887260).

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

3378340 is a wasteful number, since it uses less digits than its factorization.

3378340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3378340 is about 1838.0261151572. The cubic root of 3378340 is about 150.0494651677.

The spelling of 3378340 in words is "three million, three hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 409 413 590 818 826 1180 1636 1652 2045 2065 2863 4090 4130 5726 8180 8260 11452 14315 24131 28630 48262 57260 96524 120655 168917 241310 337834 482620 675668 844585 1689170 3378340