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3084240 = 243571181
BaseRepresentation
bin1011110000111111010000
312210200210010
423300333100
51242143430
6150034520
735133645
oct13607720
95720703
103084240
111817265
121048a40
1383cac3
145a3dcc
1540dcb0
hex2f0fd0

3084240 has 80 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 806400.

The previous prime is 3084227. The next prime is 3084247. The reversal of 3084240 is 424803.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084247) 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, 16950 + ... + 17130.

Almost surely, 23084240 is an apocalyptic number.

3084240 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 3084240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

3084240 is an abundant number, since it is smaller than the sum of its proper divisors (6665136).

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

3084240 is a wasteful number, since it uses less digits than its factorization.

3084240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

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

The square root of 3084240 is about 1756.2004441407. The cubic root of 3084240 is about 145.5624606358.

The spelling of 3084240 in words is "three million, eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 181 213 240 284 355 362 426 543 568 710 724 852 905 1065 1086 1136 1420 1448 1704 1810 2130 2172 2715 2840 2896 3408 3620 4260 4344 5430 5680 7240 8520 8688 10860 12851 14480 17040 21720 25702 38553 43440 51404 64255 77106 102808 128510 154212 192765 205616 257020 308424 385530 514040 616848 771060 1028080 1542120 3084240