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2024021244 = 223722924093
BaseRepresentation
bin111100010100100…
…0001110011111100
312020001112221011210
41320221001303330
513121122134434
6532501444420
7101104616400
oct17051016374
95201487153
102024021244
11949564133
12485a10710
13263437c0b
14152b4d100
15bca59ee9
hex78a41cfc

2024021244 has 108 divisors (see below), whose sum is σ = 5691134904. Its totient is φ = 558214272.

The previous prime is 2024021243. The next prime is 2024021261. The reversal of 2024021244 is 4421204202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2024021244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024021243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 492462 + ... + 496554.

Almost surely, 22024021244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024021244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845567452).

2024021244 is an abundant number, since it is smaller than the sum of its proper divisors (3667113660).

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

2024021244 is a wasteful number, since it uses less digits than its factorization.

2024021244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2024021244 is about 44989.1236189371. The cubic root of 2024021244 is about 1264.9451342939.

Adding to 2024021244 its reverse (4421204202), we get a palindrome (6445225446).

The spelling of 2024021244 in words is "two billion, twenty-four million, twenty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 841 1218 1421 1682 2436 2523 2842 3364 4093 4263 5046 5684 5887 8186 8526 10092 11774 12279 16372 17052 17661 23548 24558 28651 35322 41209 49116 57302 70644 82418 85953 114604 118697 123627 164836 171906 200557 237394 247254 343812 356091 401114 474788 494508 601671 712182 802228 830879 1203342 1424364 1661758 2406684 2492637 3323516 3442213 4985274 5816153 6884426 9970548 10326639 11632306 13768852 17448459 20653278 23264612 24095491 34896918 41306556 48190982 69793836 72286473 96381964 144572946 168668437 289145892 337336874 506005311 674673748 1012010622 2024021244