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34131440 = 245728707
BaseRepresentation
bin1000001000110…
…0110111110000
32101020001112102
42002030313300
532214201230
63215315532
7563053400
oct202146760
971201472
1034131440
11182a2502
12b51bba8
1370c0625
144766800
152ee3045
hex208cdf0

34131440 has 60 divisors (see below), whose sum is σ = 92322216. Its totient is φ = 11700864.

The previous prime is 34131439. The next prime is 34131451. The reversal of 34131440 is 4413143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434 + ... + 8273.

Almost surely, 234131440 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 34131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46161108).

34131440 is an abundant number, since it is smaller than the sum of its proper divisors (58190776).

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

34131440 is a wasteful number, since it uses less digits than its factorization.

34131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 34131440 is about 5842.2119098848. The cubic root of 34131440 is about 324.3781085927.

Adding to 34131440 its reverse (4413143), we get a palindrome (38544583).

The spelling of 34131440 in words is "thirty-four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 8707 17414 34828 43535 60949 69656 87070 121898 139312 174140 243796 304745 348280 426643 487592 609490 696560 853286 975184 1218980 1706572 2133215 2437960 3413144 4266430 4875920 6826288 8532860 17065720 34131440