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3240960 = 21035211
BaseRepresentation
bin1100010111010000000000
320002122202120
430113100000
51312202320
6153244240
736355602
oct14272000
96078676
103240960
111913a88
121103680
13896238
14605172
15440440
hex317400

3240960 has 88 divisors (see below), whose sum is σ = 10415136. Its totient is φ = 860160.

The previous prime is 3240959. The next prime is 3240961. The reversal of 3240960 is 690423.

It is an interprime number because it is at equal distance from previous prime (3240959) and next prime (3240961).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3240960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15255 + ... + 15465.

Almost surely, 23240960 is an apocalyptic number.

3240960 is a gapful number since it is divisible by the number (30) 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 3240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207568).

3240960 is an abundant number, since it is smaller than the sum of its proper divisors (7174176).

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

3240960 is a wasteful number, since it uses less digits than its factorization.

3240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3240960 is about 1800.2666469165. The cubic root of 3240960 is about 147.9873376067.

The spelling of 3240960 in words is "three million, two hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 211 240 256 320 384 422 480 512 633 640 768 844 960 1024 1055 1266 1280 1536 1688 1920 2110 2532 2560 3072 3165 3376 3840 4220 5064 5120 6330 6752 7680 8440 10128 12660 13504 15360 16880 20256 25320 27008 33760 40512 50640 54016 67520 81024 101280 108032 135040 162048 202560 216064 270080 324096 405120 540160 648192 810240 1080320 1620480 3240960