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34411014 = 23311193049
BaseRepresentation
bin1000001101000…
…1001000000110
32101202021001000
42003101020012
532302123024
63225314130
7565326441
oct203211006
971667030
1034411014
1118473560
12b635946
13718a961
1447da658
15304acc9
hex20d1206

34411014 has 64 divisors (see below), whose sum is σ = 87840000. Its totient is φ = 9875520.

The previous prime is 34411007. The next prime is 34411061. The reversal of 34411014 is 41011443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9762 + ... + 12810.

It is an arithmetic number, because the mean of its divisors is an integer number (1372500).

Almost surely, 234411014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34411014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43920000).

34411014 is an abundant number, since it is smaller than the sum of its proper divisors (53428986).

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

34411014 is a wasteful number, since it uses less digits than its factorization.

34411014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34411014 is about 5866.0901800092. The cubic root of 34411014 is about 325.2613723850.

Adding to 34411014 its reverse (41011443), we get a palindrome (75422457).

The spelling of 34411014 in words is "thirty-four million, four hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3049 3762 5643 6098 9147 11286 18294 27441 33539 54882 57931 67078 82323 100617 115862 164646 173793 201234 301851 347586 521379 603702 637241 905553 1042758 1274482 1564137 1811106 1911723 3128274 3823446 5735169 11470338 17205507 34411014