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3344130 = 232573509
BaseRepresentation
bin1100110000011100000010
320021220021200
430300130002
51324003010
6155402030
740265436
oct14603402
96256250
103344130
111984549
121153316
1390119a
146309c6
15460cc0
hex330702

3344130 has 48 divisors (see below), whose sum is σ = 8831160. Its totient is φ = 877824.

The previous prime is 3344119. The next prime is 3344147. The reversal of 3344130 is 314433.

It can be written as a sum of positive squares in 4 ways, for example, as 3122289 + 221841 = 1767^2 + 471^2 .

It is a super-2 number, since 2×33441302 = 22366410913800, which contains 22 as substring.

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, 6316 + ... + 6824.

Almost surely, 23344130 is an apocalyptic number.

3344130 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 3344130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415580).

3344130 is an abundant number, since it is smaller than the sum of its proper divisors (5487030).

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

3344130 is a wasteful number, since it uses less digits than its factorization.

3344130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3344130 is about 1828.6962569000. The cubic root of 3344130 is about 149.5412651792.

Adding to 3344130 its reverse (314433), we get a palindrome (3658563).

The spelling of 3344130 in words is "three million, three hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 509 657 730 1018 1095 1314 1527 2190 2545 3054 3285 4581 5090 6570 7635 9162 15270 22905 37157 45810 74314 111471 185785 222942 334413 371570 557355 668826 1114710 1672065 3344130