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34041414340 = 2253171773317
BaseRepresentation
bin11111101101000001…
…101100001011000100
310020212101221000121201
4133231001230023010
51024204100224330
623345521352244
72313402150643
oct375501541304
9106771830551
1034041414340
111348954448a
126720498684
13329675702b
14190d09d35a
15d4382eeca
hex7ed06c2c4

34041414340 has 48 divisors (see below), whose sum is σ = 74832436224. Its totient is φ = 12991708800.

The previous prime is 34041414331. The next prime is 34041414347. The reversal of 34041414340 is 4341414043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34041414299 and 34041414308.

It is not an unprimeable number, because it can be changed into a prime (34041414347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 342639 + ... + 430678.

It is an arithmetic number, because the mean of its divisors is an integer number (1559009088).

Almost surely, 234041414340 is an apocalyptic number.

It is an amenable number.

34041414340 is an abundant number, since it is smaller than the sum of its proper divisors (40791021884).

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

34041414340 is a wasteful number, since it uses less digits than its factorization.

34041414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773428 (or 773426 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34041414340 its reverse (4341414043), we get a palindrome (38382828383).

The spelling of 34041414340 in words is "thirty-four billion, forty-one million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 71 124 142 155 284 310 355 620 710 1420 2201 4402 8804 11005 22010 44020 773317 1546634 3093268 3866585 7733170 15466340 23972827 47945654 54905507 95891308 109811014 119864135 219622028 239728270 274527535 479456540 549055070 1098110140 1702070717 3404141434 6808282868 8510353585 17020707170 34041414340