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34103118 = 237373227
BaseRepresentation
bin1000001000010…
…1111101001110
32101011121200110
42002011331032
532212244433
63214540450
7562605000
oct202057516
971147613
1034103118
11182831a5
12b507726
1370b077a
14475a370
152ed9963
hex2085f4e

34103118 has 64 divisors (see below), whose sum is σ = 80985600. Its totient is φ = 9567936.

The previous prime is 34103117. The next prime is 34103137. The reversal of 34103118 is 81130143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34103094 and 34103103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34103117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150121 + ... + 150347.

It is an arithmetic number, because the mean of its divisors is an integer number (1265400).

Almost surely, 234103118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34103118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40492800).

34103118 is an abundant number, since it is smaller than the sum of its proper divisors (46882482).

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

34103118 is a wasteful number, since it uses less digits than its factorization.

34103118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 34103118 is about 5839.7874961337. The cubic root of 34103118 is about 324.2883616314.

The spelling of 34103118 in words is "thirty-four million, one hundred three thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 227 294 343 438 454 511 681 686 1022 1029 1362 1533 1589 2058 3066 3178 3577 4767 7154 9534 10731 11123 16571 21462 22246 25039 33142 33369 49713 50078 66738 75117 77861 99426 115997 150234 155722 231994 233583 347991 467166 695982 811979 1623958 2435937 4871874 5683853 11367706 17051559 34103118