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2730024 = 233411383
BaseRepresentation
bin1010011010100000101000
312010200220000
422122200220
51144330044
6134303000
732130153
oct12324050
95120800
102730024
1115a5120
12ab7a60
137477cb
14510c9a
1538dd69
hex29a828

2730024 has 80 divisors (see below), whose sum is σ = 8363520. Its totient is φ = 825120.

The previous prime is 2730017. The next prime is 2730041. The reversal of 2730024 is 4200372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 2729979 and 2730006.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6937 + ... + 7319.

It is an arithmetic number, because the mean of its divisors is an integer number (104544).

22730024 is an apocalyptic number.

2730024 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 2730024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181760).

2730024 is an abundant number, since it is smaller than the sum of its proper divisors (5633496).

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

2730024 is a wasteful number, since it uses less digits than its factorization.

2730024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2730024 is about 1652.2784269003. The cubic root of 2730024 is about 139.7619082427.

Adding to 2730024 its reverse (4200372), we get a palindrome (6930396).

The spelling of 2730024 in words is "two million, seven hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 383 396 594 648 766 792 891 1149 1188 1532 1782 2298 2376 3064 3447 3564 4213 4596 6894 7128 8426 9192 10341 12639 13788 16852 20682 25278 27576 31023 33704 37917 41364 50556 62046 75834 82728 101112 113751 124092 151668 227502 248184 303336 341253 455004 682506 910008 1365012 2730024