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34343422304 = 2517351117981
BaseRepresentation
bin11111111111000001…
…110000100101100000
310021122110012121122212
4133333001300211200
51030313404003204
623435510421252
72324030162432
oct377701604540
9107573177585
1034343422304
1113623a6a544
1267a5661828
1333141a8a79
14193b236652
15d600d8c6e
hex7ff070960

34343422304 has 48 divisors (see below), whose sum is σ = 71615257056. Its totient is φ = 16156108800.

The previous prime is 34343422301. The next prime is 34343422313. The reversal of 34343422304 is 40322434343.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343422301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1900994 + ... + 1918974.

It is an arithmetic number, because the mean of its divisors is an integer number (1491984522).

Almost surely, 234343422304 is an apocalyptic number.

34343422304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34343422304 is an abundant number, since it is smaller than the sum of its proper divisors (37271834752).

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

34343422304 is a wasteful number, since it uses less digits than its factorization.

34343422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21519 (or 21511 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 34343422304 its reverse (40322434343), we get a palindrome (74665856647).

The spelling of 34343422304 in words is "thirty-four billion, three hundred forty-three million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 3511 7022 14044 17981 28088 35962 56176 59687 71924 112352 119374 143848 238748 287696 305677 477496 575392 611354 954992 1222708 1909984 2445416 4890832 9781664 63131291 126262582 252525164 505050328 1010100656 1073231947 2020201312 2146463894 4292927788 8585855576 17171711152 34343422304