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34331314002 = 2331415976303
BaseRepresentation
bin11111111110010011…
…100100011101010010
310021121121102110012020
4133332103210131102
51030302304022002
623434355112310
72323522232316
oct377623443522
9107547373166
1034331314002
111361814a387
1267a15a2696
1333118296ab
1419397a3b46
15d5dee62bc
hex7fe4e4752

34331314002 has 64 divisors (see below), whose sum is σ = 73837854720. Its totient is φ = 10621238400.

The previous prime is 34331314001. The next prime is 34331314049. The reversal of 34331314002 is 20041313343.

It is a super-2 number, since 2×343313140022 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34331314001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411783 + ... + 488085.

It is an arithmetic number, because the mean of its divisors is an integer number (1153716480).

Almost surely, 234331314002 is an apocalyptic number.

34331314002 is an abundant number, since it is smaller than the sum of its proper divisors (39506540718).

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

34331314002 is a wasteful number, since it uses less digits than its factorization.

34331314002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76439.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34331314002 its reverse (20041313343), we get a palindrome (54372627345).

The spelling of 34331314002 in words is "thirty-four billion, three hundred thirty-one million, three hundred fourteen thousand, two".

Divisors: 1 2 3 6 31 41 59 62 82 93 118 123 177 186 246 354 1271 1829 2419 2542 3658 3813 4838 5487 7257 7626 10974 14514 74989 76303 149978 152606 224967 228909 449934 457818 2365393 3128423 4501877 4730786 6256846 7096179 9003754 9385269 13505631 14192358 18770538 27011262 96981113 139558187 184576957 193962226 279116374 290943339 369153914 418674561 553730871 581886678 837349122 1107461742 5721885667 11443771334 17165657001 34331314002