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34213251534 = 23711471575631
BaseRepresentation
bin11111110111010001…
…001100100111001110
310021022101021020221020
4133313101030213032
51030032043022114
623414540415010
72320556561010
oct376721144716
9107271236836
1034213251534
11135675412a0
126769b47466
1332c3230647
141927c301b0
15d53974aa9
hex7f744c9ce

34213251534 has 64 divisors (see below), whose sum is σ = 87126147072. Its totient is φ = 8697477600.

The previous prime is 34213251533. The next prime is 34213251557. The reversal of 34213251534 is 43515231243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34213251495 and 34213251504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213251533) 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, 766102 + ... + 809529.

It is an arithmetic number, because the mean of its divisors is an integer number (1361346048).

Almost surely, 234213251534 is an apocalyptic number.

34213251534 is an abundant number, since it is smaller than the sum of its proper divisors (52912895538).

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

34213251534 is a wasteful number, since it uses less digits than its factorization.

34213251534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575701.

The product of its digits is 43200, while the sum is 33.

Adding to 34213251534 its reverse (43515231243), we get a palindrome (77728482777).

The spelling of 34213251534 in words is "thirty-four billion, two hundred thirteen million, two hundred fifty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 462 517 658 987 1034 1551 1974 3102 3619 7238 10857 21714 1575631 3151262 4726893 9453786 11029417 17331941 22058834 33088251 34663882 51995823 66176502 74054657 103991646 121323587 148109314 222163971 242647174 363970761 444327942 518382599 727941522 814601227 1036765198 1555147797 1629202454 2443803681 3110295594 4887607362 5702208589 11404417178 17106625767 34213251534