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3412240 = 2451317193
BaseRepresentation
bin1101000001000100010000
320102100201021
431001010100
51333142430
6201045224
741001136
oct15010420
96370637
103412240
111a20737
121186814
139261a0
1464b756
1547607a
hex341110

3412240 has 80 divisors (see below), whose sum is σ = 9093168. Its totient is φ = 1179648.

The previous prime is 3412207. The next prime is 3412271. The reversal of 3412240 is 422143.

It can be written as a sum of positive squares in 8 ways, for example, as 215296 + 3196944 = 464^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17584 + ... + 17776.

Almost surely, 23412240 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 3412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546584).

3412240 is an abundant number, since it is smaller than the sum of its proper divisors (5680928).

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

3412240 is a wasteful number, since it uses less digits than its factorization.

3412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3412240 is about 1847.2249456956. The cubic root of 3412240 is about 150.5496868720.

Adding to 3412240 its reverse (422143), we get a palindrome (3834383).

The spelling of 3412240 in words is "three million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 193 208 221 260 272 340 386 442 520 680 772 884 965 1040 1105 1360 1544 1768 1930 2210 2509 3088 3281 3536 3860 4420 5018 6562 7720 8840 10036 12545 13124 15440 16405 17680 20072 25090 26248 32810 40144 42653 50180 52496 65620 85306 100360 131240 170612 200720 213265 262480 341224 426530 682448 853060 1706120 3412240