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2421003354 = 23711171991549
BaseRepresentation
bin1001000001001101…
…1001010001011010
320020201112201020220
42100103121101122
514424234101404
61040122300510
7113665121550
oct22023312132
96221481226
102421003354
111032658720
12576957736
132c7760983
1418d769bd0
15e28244d9
hex904d945a

2421003354 has 128 divisors (see below), whose sum is σ = 6428160000. Its totient is φ = 588487680.

The previous prime is 2421003353. The next prime is 2421003359. The reversal of 2421003354 is 4533001242.

It is a super-2 number, since 2×24210033542 = 11722514480158498632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2421003353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1562172 + ... + 1563720.

It is an arithmetic number, because the mean of its divisors is an integer number (50220000).

Almost surely, 22421003354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421003354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080000).

2421003354 is an abundant number, since it is smaller than the sum of its proper divisors (4007156646).

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

2421003354 is a wasteful number, since it uses less digits than its factorization.

2421003354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2421003354 is about 49203.6924833899. The cubic root of 2421003354 is about 1342.7602111704.

Adding to 2421003354 its reverse (4533001242), we get a palindrome (6954004596).

The spelling of 2421003354 in words is "two billion, four hundred twenty-one million, three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 199 231 238 357 374 398 462 561 597 714 1122 1194 1309 1393 1549 2189 2618 2786 3098 3383 3927 4179 4378 4647 6567 6766 7854 8358 9294 10149 10843 13134 15323 17039 20298 21686 23681 26333 30646 32529 34078 37213 45969 47362 51117 52666 65058 71043 74426 78999 91938 102234 111639 119273 142086 157998 184331 223278 238546 260491 289663 308251 357819 368662 520982 552993 579326 616502 715638 781473 868989 924753 1105986 1562946 1737978 1849506 2027641 2157757 3390761 4055282 4315514 5240267 6082923 6473271 6781522 10172283 10480534 12165846 12946542 15720801 20344566 23735327 31441602 36681869 47470654 57642937 71205981 73363738 110045607 115285874 142411962 172928811 220091214 345857622 403500559 807001118 1210501677 2421003354