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3342465 = 3657131
BaseRepresentation
bin1100110000000010000001
320021211000000
430300002001
51323424330
6155350213
740260540
oct14600201
96254000
103342465
111983275
121152369
139004b9
14630157
15460560
hex330081

3342465 has 56 divisors (see below), whose sum is σ = 6925248. Its totient is φ = 1516320.

The previous prime is 3342457. The next prime is 3342473. The reversal of 3342465 is 5642433.

It is an interprime number because it is at equal distance from previous prime (3342457) and next prime (3342473).

It is not a de Polignac number, because 3342465 - 23 = 3342457 is a prime.

It is a super-2 number, since 2×33424652 = 22344144552450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 35 + 310 + 45 + 29 + 410 + 67 + 59 .

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25450 + ... + 25580.

Almost surely, 23342465 is an apocalyptic number.

3342465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3342465 is an abundant number, since it is smaller than the sum of its proper divisors (3582783).

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

3342465 is an equidigital number, since it uses as much as digits as its factorization.

3342465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 3342465 is about 1828.2409578609. The cubic root of 3342465 is about 149.5164428248.

Adding to 3342465 its reverse (5642433), we get a palindrome (8984898).

Subtracting 3342465 from its reverse (5642433), we obtain a cube (2299968 = 1323).

It can be divided in two parts, 33424 and 65, that added together give a square (33489 = 1832).

The spelling of 3342465 in words is "three million, three hundred forty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 131 135 189 243 315 393 405 567 655 729 917 945 1179 1215 1701 1965 2751 2835 3537 3645 4585 5103 5895 8253 8505 10611 13755 17685 24759 25515 31833 41265 53055 74277 95499 123795 159165 222831 371385 477495 668493 1114155 3342465