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3405304 = 23731773
BaseRepresentation
bin1100111111010111111000
320102000012101
430333113320
51332432204
6200553144
740642000
oct14772770
96360171
103405304
111a16501
1211827b4
13922c96
14649000
15473ea4
hex33f5f8

3405304 has 64 divisors (see below), whose sum is σ = 7992000. Its totient is φ = 1354752.

The previous prime is 3405301. The next prime is 3405359. The reversal of 3405304 is 4035043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405301) 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, 46612 + ... + 46684.

It is an arithmetic number, because the mean of its divisors is an integer number (124875).

Almost surely, 23405304 is an apocalyptic number.

3405304 is a gapful number since it is divisible by the number (34) 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 3405304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996000).

3405304 is an abundant number, since it is smaller than the sum of its proper divisors (4586696).

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

3405304 is a wasteful number, since it uses less digits than its factorization.

3405304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 3405304 is about 1845.3465799139. The cubic root of 3405304 is about 150.4476111148.

The spelling of 3405304 in words is "three million, four hundred five thousand, three hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 73 98 119 136 146 196 238 292 343 392 476 511 584 686 833 952 1022 1241 1372 1666 2044 2482 2744 3332 3577 4088 4964 5831 6664 7154 8687 9928 11662 14308 17374 23324 25039 28616 34748 46648 50078 60809 69496 100156 121618 200312 243236 425663 486472 851326 1702652 3405304