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34123452 = 22311271331
BaseRepresentation
bin1000001000101…
…0111010111100
32101012122120120
42002022322330
532213422302
63215214540
7563021166
oct202127274
971178516
1034123452
1118297500
12b517450
1370b9abc
144763936
152ee09bc
hex208aebc

34123452 has 72 divisors (see below), whose sum is σ = 89018496. Its totient is φ = 10164000.

The previous prime is 34123447. The next prime is 34123489. The reversal of 34123452 is 25432143.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102927 + ... + 103257.

It is an arithmetic number, because the mean of its divisors is an integer number (1236368).

Almost surely, 234123452 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 34123452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44509248).

34123452 is an abundant number, since it is smaller than the sum of its proper divisors (54895044).

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

34123452 is a wasteful number, since it uses less digits than its factorization.

34123452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 34123452 is about 5841.5282247028. The cubic root of 34123452 is about 324.3528011880.

Adding to 34123452 its reverse (25432143), we get a palindrome (59555595).

The spelling of 34123452 in words is "thirty-four million, one hundred twenty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 121 132 142 213 242 284 331 363 426 484 662 726 781 852 993 1324 1452 1562 1986 2343 3124 3641 3972 4686 7282 8591 9372 10923 14564 17182 21846 23501 25773 34364 40051 43692 47002 51546 70503 80102 94004 103092 120153 141006 160204 240306 258511 282012 480612 517022 775533 1034044 1551066 2843621 3102132 5687242 8530863 11374484 17061726 34123452