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3240744 = 2331321747
BaseRepresentation
bin1100010111001100101000
320002122110120
430113030220
51312200434
6153243240
736355143
oct14271450
96078416
103240744
111913901
121103520
13896100
1460505a
15440349
hex317328

3240744 has 96 divisors (see below), whose sum is σ = 9486720. Its totient is φ = 918528.

The previous prime is 3240739. The next prime is 3240751. The reversal of 3240744 is 4470423.

3240744 = T62 + T63 + ... + T269.

3240744 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 68929 + ... + 68975.

It is an arithmetic number, because the mean of its divisors is an integer number (98820).

Almost surely, 23240744 is an apocalyptic number.

3240744 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 3240744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743360).

3240744 is an abundant number, since it is smaller than the sum of its proper divisors (6245976).

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

3240744 is a wasteful number, since it uses less digits than its factorization.

3240744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 3240744 is about 1800.2066548038. The cubic root of 3240744 is about 147.9840499003.

The spelling of 3240744 in words is "three million, two hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 47 51 52 68 78 94 102 104 136 141 156 169 188 204 221 282 312 338 376 408 442 507 564 611 663 676 799 884 1014 1128 1222 1326 1352 1598 1768 1833 2028 2397 2444 2652 2873 3196 3666 4056 4794 4888 5304 5746 6392 7332 7943 8619 9588 10387 11492 14664 15886 17238 19176 20774 22984 23829 31161 31772 34476 41548 47658 62322 63544 68952 83096 95316 124644 135031 190632 249288 270062 405093 540124 810186 1080248 1620372 3240744