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3240480 = 253543157
BaseRepresentation
bin1100010111001000100000
320002122002210
430113020200
51312143410
6153242120
736354315
oct14271040
96078083
103240480
111913691
121103340
13895c59
14604d0c
15440220
hex317220

3240480 has 96 divisors (see below), whose sum is σ = 10511424. Its totient is φ = 838656.

The previous prime is 3240467. The next prime is 3240491. The reversal of 3240480 is 840423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 20562 + ... + 20718.

It is an arithmetic number, because the mean of its divisors is an integer number (109494).

Almost surely, 23240480 is an apocalyptic number.

3240480 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 3240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255712).

3240480 is an abundant number, since it is smaller than the sum of its proper divisors (7270944).

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

3240480 is a wasteful number, since it uses less digits than its factorization.

3240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3240480 is about 1800.1333283954. The cubic root of 3240480 is about 147.9800313940.

The spelling of 3240480 in words is "three million, two hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 157 160 172 215 240 258 314 344 430 471 480 516 628 645 688 785 860 942 1032 1256 1290 1376 1570 1720 1884 2064 2355 2512 2580 3140 3440 3768 4128 4710 5024 5160 6280 6751 6880 7536 9420 10320 12560 13502 15072 18840 20253 20640 25120 27004 33755 37680 40506 54008 67510 75360 81012 101265 108016 135020 162024 202530 216032 270040 324048 405060 540080 648096 810120 1080160 1620240 3240480