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3340032630 = 23511231014357
BaseRepresentation
bin1100011100010100…
…1101101001110110
322121202212020102020
43013011031221312
523320022021010
61311232254010
7145524544314
oct30705155166
98552766366
103340032630
1114643a7a50
127926a1306
13412c8a98c
1423983b0b4
1514835e470
hexc714da76

3340032630 has 128 divisors (see below), whose sum is σ = 9217483776. Its totient is φ = 766656000.

The previous prime is 3340032557. The next prime is 3340032671. The reversal of 3340032630 is 362300433.

It is a super-2 number, since 2×33400326302 = 22311635938929433800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3340032630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764412 + ... + 768768.

It is an arithmetic number, because the mean of its divisors is an integer number (72011592).

Almost surely, 23340032630 is an apocalyptic number.

3340032630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340032630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608741888).

3340032630 is an abundant number, since it is smaller than the sum of its proper divisors (5877451146).

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

3340032630 is a wasteful number, since it uses less digits than its factorization.

3340032630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502.

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3340032630 is about 57793.0154084384. The cubic root of 3340032630 is about 1494.8016545026.

It can be divided in two parts, 334003 and 2630, that added together give a palindrome (336633).

The spelling of 3340032630 in words is "three billion, three hundred forty million, thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 101 110 115 138 165 202 230 253 303 330 345 505 506 606 690 759 1010 1111 1265 1515 1518 2222 2323 2530 3030 3333 3795 4357 4646 5555 6666 6969 7590 8714 11110 11615 13071 13938 16665 21785 23230 25553 26142 33330 34845 43570 47927 51106 65355 69690 76659 95854 100211 127765 130710 143781 153318 200422 239635 255530 287562 300633 383295 440057 479270 501055 601266 718905 766590 880114 1002110 1102321 1320171 1437810 1503165 2200285 2204642 2640342 3006330 3306963 4400570 4840627 5511605 6600855 6613926 9681254 10121311 11023210 13201710 14521881 16534815 20242622 24203135 29043762 30363933 33069630 48406270 50606555 60727866 72609405 101213110 111334421 145218810 151819665 222668842 303639330 334003263 556672105 668006526 1113344210 1670016315 3340032630