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34403424 = 2531132579
BaseRepresentation
bin1000001100111…
…1010001100000
32101201212121220
42003033101200
532301402144
63225215040
7565265346
oct203172140
971655556
1034403424
1118468890
12b631480
137187373
1447d7996
153048919
hex20cf460

34403424 has 48 divisors (see below), whose sum is σ = 98521920. Its totient is φ = 10424960.

The previous prime is 34403419. The next prime is 34403429. The reversal of 34403424 is 42430443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34403419) and next prime (34403429).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34403394 and 34403403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34403429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15234 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (2052540).

Almost surely, 234403424 is an apocalyptic number.

It is an amenable number.

34403424 is an abundant number, since it is smaller than the sum of its proper divisors (64118496).

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

34403424 is a wasteful number, since it uses less digits than its factorization.

34403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32603 (or 32595 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 34403424 is about 5865.4432057603. The cubic root of 34403424 is about 325.2374564440.

Adding to 34403424 its reverse (42430443), we get a palindrome (76833867).

The spelling of 34403424 in words is "thirty-four million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 32579 65158 97737 130316 195474 260632 358369 390948 521264 716738 781896 1042528 1075107 1433476 1563792 2150214 2866952 3127584 4300428 5733904 8600856 11467808 17201712 34403424