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34345500432 = 2431091655849
BaseRepresentation
bin11111111111001001…
…101011111100010000
310021122121010012022120
4133333021223330100
51030314422003212
623440023134240
72324053636215
oct377711537420
9107577105276
1034345500432
1113625159901
1267a62a4380
133314755929
14193b617b0c
15d6039988c
hex7ff26bf10

34345500432 has 40 divisors (see below), whose sum is σ = 88807336800. Its totient is φ = 11437989120.

The previous prime is 34345500407. The next prime is 34345500433. The reversal of 34345500432 is 23400554343.

It is a happy number.

It is a super-2 number, since 2×343455004322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34345500393 and 34345500402.

It is not an unprimeable number, because it can be changed into a prime (34345500433) 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, 275557 + ... + 380292.

It is an arithmetic number, because the mean of its divisors is an integer number (2220183420).

Almost surely, 234345500432 is an apocalyptic number.

It is an amenable number.

34345500432 is an abundant number, since it is smaller than the sum of its proper divisors (54461836368).

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

34345500432 is a wasteful number, since it uses less digits than its factorization.

34345500432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656951 (or 656945 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

The spelling of 34345500432 in words is "thirty-four billion, three hundred forty-five million, five hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1091 2182 3273 4364 6546 8728 13092 17456 26184 52368 655849 1311698 1967547 2623396 3935094 5246792 7870188 10493584 15740376 31480752 715531259 1431062518 2146593777 2862125036 4293187554 5724250072 8586375108 11448500144 17172750216 34345500432