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34244551432 = 23713173271903
BaseRepresentation
bin11111111001001000…
…100110001100001000
310021101120011110022201
4133321020212030020
51030113101121212
623422015325544
72321416612240
oct377110461410
9107346143281
1034244551432
111358317a383
1267785208b4
1332c986c1b0
14192c05ab20
15d565a8b57
hex7f9226308

34244551432 has 64 divisors (see below), whose sum is σ = 79482977280. Its totient is φ = 13468937472.

The previous prime is 34244551423. The next prime is 34244551433. The reversal of 34244551432 is 23415544243.

It is a junction number, because it is equal to n+sod(n) for n = 34244551391 and 34244551400.

It is not an unprimeable number, because it can be changed into a prime (34244551433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10008 + ... + 261895.

It is an arithmetic number, because the mean of its divisors is an integer number (1241921520).

Almost surely, 234244551432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34244551432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39741488640).

34244551432 is an abundant number, since it is smaller than the sum of its proper divisors (45238425848).

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

34244551432 is a wasteful number, since it uses less digits than its factorization.

34244551432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272102 (or 272098 counting only the distinct ones).

The product of its digits is 230400, while the sum is 37.

The spelling of 34244551432 in words is "thirty-four billion, two hundred forty-four million, five hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 173 182 346 364 692 728 1211 1384 2249 2422 4498 4844 8996 9688 15743 17992 31486 62972 125944 271903 543806 1087612 1903321 2175224 3534739 3806642 7069478 7613284 14138956 15226568 24743173 28277912 47039219 49486346 94078438 98972692 188156876 197945384 329274533 376313752 611509847 658549066 1223019694 1317098132 2446039388 2634196264 4280568929 4892078776 8561137858 17122275716 34244551432