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34423424 = 277103373
BaseRepresentation
bin1000001101010…
…0001010000000
32101202220001122
42003110022000
532303022144
63225451412
7565410560
oct203241200
971686048
1034423424
1118481912
12b640b68
1371934b9
144800da0
15304e7ee
hex20d4280

34423424 has 64 divisors (see below), whose sum is σ = 79347840. Its totient is φ = 14570496.

The previous prime is 34423397. The next prime is 34423429. The reversal of 34423424 is 42432443.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34423393 and 34423402.

It is not an unprimeable number, because it can be changed into a prime (34423429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92102 + ... + 92474.

It is an arithmetic number, because the mean of its divisors is an integer number (1239810).

Almost surely, 234423424 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 34423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39673920).

34423424 is an abundant number, since it is smaller than the sum of its proper divisors (44924416).

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

34423424 is a wasteful number, since it uses less digits than its factorization.

34423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its digits is 9216, while the sum is 26.

The square root of 34423424 is about 5867.1478590538. The cubic root of 34423424 is about 325.3004684768.

Adding to 34423424 its reverse (42432443), we get a palindrome (76855867).

The spelling of 34423424 in words is "thirty-four million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 373 412 448 721 746 824 896 1442 1492 1648 2611 2884 2984 3296 5222 5768 5968 6592 10444 11536 11936 13184 20888 23072 23872 38419 41776 46144 47744 76838 83552 92288 153676 167104 268933 307352 334208 537866 614704 1075732 1229408 2151464 2458816 4302928 4917632 8605856 17211712 34423424