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3405330 = 2325157241
BaseRepresentation
bin1100111111011000010010
320102000020100
430333120102
51332432310
6200553230
740642035
oct14773022
96360210
103405330
111a16525
121182816
13922cb6
1464901c
15473ec0
hex33f612

3405330 has 48 divisors (see below), whose sum is σ = 8947224. Its totient is φ = 898560.

The previous prime is 3405301. The next prime is 3405359. The reversal of 3405330 is 335043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3405301) and next prime (3405359).

It can be written as a sum of positive squares in 4 ways, for example, as 2792241 + 613089 = 1671^2 + 783^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14010 + ... + 14250.

Almost surely, 23405330 is an apocalyptic number.

3405330 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 3405330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473612).

3405330 is an abundant number, since it is smaller than the sum of its proper divisors (5541894).

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

3405330 is a wasteful number, since it uses less digits than its factorization.

3405330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3405330 is about 1845.3536246476. The cubic root of 3405330 is about 150.4479940104.

The spelling of 3405330 in words is "three million, four hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 241 314 471 482 723 785 942 1205 1413 1446 1570 2169 2355 2410 2826 3615 4338 4710 7065 7230 10845 14130 21690 37837 75674 113511 189185 227022 340533 378370 567555 681066 1135110 1702665 3405330