Search a number
-
+
2998464 = 26372397
BaseRepresentation
bin1011011100000011000000
312122100010020
423130003000
51231422324
6144133440
734325610
oct13340300
95570106
102998464
111768877
121007280
1380ca51
14580a40
153e3679
hex2dc0c0

2998464 has 112 divisors (see below), whose sum is σ = 9558528. Its totient is φ = 811008.

The previous prime is 2998423. The next prime is 2998483. The reversal of 2998464 is 4648992.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 30864 + ... + 30960.

It is an arithmetic number, because the mean of its divisors is an integer number (85344).

22998464 is an apocalyptic number.

2998464 is a gapful number since it is divisible by the number (24) 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 2998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779264).

2998464 is an abundant number, since it is smaller than the sum of its proper divisors (6560064).

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

2998464 is a wasteful number, since it uses less digits than its factorization.

2998464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2998464 is about 1731.6073457918. The cubic root of 2998464 is about 144.2003384360.

The spelling of 2998464 in words is "two million, nine hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 97 112 138 161 168 184 192 194 224 276 291 322 336 368 388 448 483 552 582 644 672 679 736 776 966 1104 1164 1288 1344 1358 1472 1552 1932 2037 2208 2231 2328 2576 2716 3104 3864 4074 4416 4462 4656 5152 5432 6208 6693 7728 8148 8924 9312 10304 10864 13386 15456 15617 16296 17848 18624 21728 26772 30912 31234 32592 35696 43456 46851 53544 62468 65184 71392 93702 107088 124936 130368 142784 187404 214176 249872 374808 428352 499744 749616 999488 1499232 2998464