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3240640 = 265131941
BaseRepresentation
bin1100010111001011000000
320002122022201
430113023000
51312200030
6153242544
736354634
oct14271300
96078281
103240640
111913817
121103454
13896050
14604dc4
154402ca
hex3172c0

3240640 has 112 divisors (see below), whose sum is σ = 8961120. Its totient is φ = 1105920.

The previous prime is 3240619. The next prime is 3240649. The reversal of 3240640 is 460423.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (3240649) 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, 79020 + ... + 79060.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

Almost surely, 23240640 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 3240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480560).

3240640 is an abundant number, since it is smaller than the sum of its proper divisors (5720480).

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

3240640 is a wasteful number, since it uses less digits than its factorization.

3240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3240640 is about 1800.1777689995. The cubic root of 3240640 is about 147.9824668784.

It can be divided in two parts, 3240 and 640, that multiplied together give a square (2073600 = 14402).

The spelling of 3240640 in words is "three million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 41 52 64 65 76 80 82 95 104 130 152 160 164 190 205 208 247 260 304 320 328 380 410 416 494 520 533 608 656 760 779 820 832 988 1040 1066 1216 1235 1312 1520 1558 1640 1976 2080 2132 2470 2624 2665 3040 3116 3280 3895 3952 4160 4264 4940 5330 6080 6232 6560 7790 7904 8528 9880 10127 10660 12464 13120 15580 15808 17056 19760 20254 21320 24928 31160 34112 39520 40508 42640 49856 50635 62320 79040 81016 85280 101270 124640 162032 170560 202540 249280 324064 405080 648128 810160 1620320 3240640