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34441703406 = 23211832095759
BaseRepresentation
bin100000000100111000…
…101010111111101110
310021220022010210222200
4200010320222333232
51031014034002111
623453341122330
72326332435315
oct400470527756
9107808123880
1034441703406
11136744975a0
1268125593a6
13332b66a076
14194a2db27c
15d68a4e256
hex804e2afee

34441703406 has 48 divisors (see below), whose sum is σ = 82388517120. Its totient is φ = 10311129360.

The previous prime is 34441703393. The next prime is 34441703407. The reversal of 34441703406 is 60430714443.

34441703406 is a `hidden beast` number, since 3 + 444 + 170 + 3 + 40 + 6 = 666.

34441703406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441703407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031446 + ... + 1064313.

It is an arithmetic number, because the mean of its divisors is an integer number (1716427440).

Almost surely, 234441703406 is an apocalyptic number.

34441703406 is an abundant number, since it is smaller than the sum of its proper divisors (47946813714).

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

34441703406 is a wasteful number, since it uses less digits than its factorization.

34441703406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095861 (or 2095858 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 34441703406 in words is "thirty-four billion, four hundred forty-one million, seven hundred three thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 913 1494 1826 2739 5478 8217 16434 2095759 4191518 6287277 12574554 18861831 23053349 37723662 46106698 69160047 138320094 173947997 207480141 347895994 414960282 521843991 1043687982 1565531973 1913427967 3131063946 3826855934 5740283901 11480567802 17220851703 34441703406