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4345665426 = 23217671271669
BaseRepresentation
bin1000000110000010…
…11001011110010010
3102012212010200021100
410003001121132102
532344442243201
61555114405230
7212455355334
oct40301313622
912185120240
104345665426
111930018833
12a13430816
1354341a97b
142d3213454
151a67a4886
hex103059792

4345665426 has 96 divisors (see below), whose sum is σ = 10204047360. Its totient is φ = 1331624448.

The previous prime is 4345665397. The next prime is 4345665431. The reversal of 4345665426 is 6245665434.

It is a happy number.

4345665426 is a `hidden beast` number, since 4 + 3 + 45 + 66 + 542 + 6 = 666.

It is a super-2 number, since 2×43456654262 = 37769615989463522952, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2602920 + ... + 2604588.

It is an arithmetic number, because the mean of its divisors is an integer number (106292160).

Almost surely, 24345665426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4345665426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102023680).

4345665426 is an abundant number, since it is smaller than the sum of its proper divisors (5858381934).

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

4345665426 is a wasteful number, since it uses less digits than its factorization.

4345665426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1885 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The square root of 4345665426 is about 65921.6612806443. The cubic root of 4345665426 is about 1631.8695131579.

The spelling of 4345665426 in words is "four billion, three hundred forty-five million, six hundred sixty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 127 134 153 201 254 306 381 402 603 762 1139 1143 1206 1669 2159 2278 2286 3338 3417 4318 5007 6477 6834 8509 10014 10251 12954 15021 17018 19431 20502 25527 28373 30042 38862 51054 56746 76581 85119 111823 144653 153162 170238 211963 223646 255357 289306 335469 423926 433959 510714 635889 670938 867918 1006407 1271778 1301877 1900991 1907667 2012814 2603754 3603371 3801982 3815334 5702973 7206742 10810113 11405946 14201521 17108919 21620226 28403042 32430339 34217838 42604563 64860678 85209126 127813689 241425857 255627378 482851714 724277571 1448555142 2172832713 4345665426