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2334480 = 243571137
BaseRepresentation
bin1000111001111100010000
311101121022020
420321330100
51044200410
6122011440
725562031
oct10717420
94347266
102334480
111354a25
12946b80
13639765
1444aa88
15311a70
hex239f10

2334480 has 80 divisors (see below), whose sum is σ = 7392384. Its totient is φ = 609280.

The previous prime is 2334463. The next prime is 2334503. The reversal of 2334480 is 844332.

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

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

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2334480.

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, 16972 + ... + 17108.

22334480 is an apocalyptic number.

2334480 is a gapful number since it is divisible by the number (20) 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 2334480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696192).

2334480 is an abundant number, since it is smaller than the sum of its proper divisors (5057904).

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

2334480 is a wasteful number, since it uses less digits than its factorization.

2334480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2334480 is about 1527.9005203219. The cubic root of 2334480 is about 132.6569636207.

The spelling of 2334480 in words is "two million, three hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 137 142 213 240 274 284 355 411 426 548 568 685 710 822 852 1065 1096 1136 1370 1420 1644 1704 2055 2130 2192 2740 2840 3288 3408 4110 4260 5480 5680 6576 8220 8520 9727 10960 16440 17040 19454 29181 32880 38908 48635 58362 77816 97270 116724 145905 155632 194540 233448 291810 389080 466896 583620 778160 1167240 2334480