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34121440 = 2551671277
BaseRepresentation
bin1000001000101…
…0011011100000
32101012112211001
42002022123200
532213341230
63215201344
7563012263
oct202123340
971175731
1034121440
1118295a41
12b516254
1370b8c02
144762cda
152ee00ca
hex208a6e0

34121440 has 48 divisors (see below), whose sum is σ = 81158112. Its totient is φ = 13556224.

The previous prime is 34121413. The next prime is 34121449. The reversal of 34121440 is 4412143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121449) 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, 26082 + ... + 27358.

It is an arithmetic number, because the mean of its divisors is an integer number (1690794).

Almost surely, 234121440 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 34121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40579056).

34121440 is an abundant number, since it is smaller than the sum of its proper divisors (47036672).

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

34121440 is a wasteful number, since it uses less digits than its factorization.

34121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34121440 is about 5841.3560069559. The cubic root of 34121440 is about 324.3464261915.

Adding to 34121440 its reverse (4412143), we get a palindrome (38533583).

The spelling of 34121440 in words is "thirty-four million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 668 835 1277 1336 1670 2554 2672 3340 5108 5344 6385 6680 10216 12770 13360 20432 25540 26720 40864 51080 102160 204320 213259 426518 853036 1066295 1706072 2132590 3412144 4265180 6824288 8530360 17060720 34121440