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4312402002 = 23217311632789
BaseRepresentation
bin1000000010000101…
…00000100001010010
3102010112112201102200
410001002200201102
532312433331002
61551525424030
7211602545406
oct40102404122
912115481380
104312402002
1119132694a7
12a0426b016
1353957247c
142cca35106
151a38d3b1c
hex1010a0852

4312402002 has 96 divisors (see below), whose sum is σ = 10278627840. Its totient is φ = 1300769280.

The previous prime is 4312401991. The next prime is 4312402007. The reversal of 4312402002 is 2002042134.

It is a super-2 number, since 2×43124020022 = 37193622053707216008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4312402007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1544824 + ... + 1547612.

It is an arithmetic number, because the mean of its divisors is an integer number (107069040).

Almost surely, 24312402002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312402002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139313920).

4312402002 is an abundant number, since it is smaller than the sum of its proper divisors (5966225838).

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

4312402002 is a wasteful number, since it uses less digits than its factorization.

4312402002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4312402002 is about 65668.8815345594. The cubic root of 4312402002 is about 1627.6951883520.

Adding to 4312402002 its reverse (2002042134), we get a palindrome (6314444136).

The spelling of 4312402002 in words is "four billion, three hundred twelve million, four hundred two thousand, two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 163 186 279 306 326 489 527 558 978 1054 1467 1581 2771 2789 2934 3162 4743 5053 5542 5578 8313 8367 9486 10106 15159 16626 16734 24939 25101 30318 45477 47413 49878 50202 85901 86459 90954 94826 142239 171802 172918 257703 259377 284478 426717 454607 515406 518754 773109 778131 853434 909214 1363821 1469803 1546218 1556262 2727642 2939606 4091463 4409409 7728319 8182926 8818818 13228227 14092817 15456638 23184957 26456454 28185634 42278451 46369914 69554871 84556902 126835353 139109742 239577889 253670706 479155778 718733667 1437467334 2156201001 4312402002