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34401541434 = 23132511757153
BaseRepresentation
bin100000000010011111…
…011101110100111010
310021210111120101010020
4200002133131310322
51030423243311214
623445344231310
72325334164111
oct400237356472
9107714511106
1034401541434
1113653856287
12680100b536
1333232478a0
141944c44c78
15d652694a9
hex8027ddd3a

34401541434 has 32 divisors (see below), whose sum is σ = 74390871744. Its totient is φ = 10542912000.

The previous prime is 34401541423. The next prime is 34401541451. The reversal of 34401541434 is 43414510443.

34401541434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34401541395 and 34401541404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858999 + ... + 898154.

It is an arithmetic number, because the mean of its divisors is an integer number (2324714742).

Almost surely, 234401541434 is an apocalyptic number.

34401541434 is an abundant number, since it is smaller than the sum of its proper divisors (39989330310).

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

34401541434 is a wasteful number, since it uses less digits than its factorization.

34401541434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757422.

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 34401541434 in words is "thirty-four billion, four hundred one million, five hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 251 502 753 1506 3263 6526 9789 19578 1757153 3514306 5271459 10542918 22842989 45685978 68528967 137057934 441045403 882090806 1323136209 2646272418 5733590239 11467180478 17200770717 34401541434