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34131516 = 22341173401
BaseRepresentation
bin1000001000110…
…0111000111100
32101020001122020
42002030320330
532214202031
63215320140
7563053536
oct202147074
971201566
1034131516
11182a2571
12b520050
1370c0683
144766856
152ee3096
hex208ce3c

34131516 has 48 divisors (see below), whose sum is σ = 82258848. Its totient is φ = 11008000.

The previous prime is 34131499. The next prime is 34131533. The reversal of 34131516 is 61513143.

It is an interprime number because it is at equal distance from previous prime (34131499) and next prime (34131533).

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 15 ways as a sum of consecutive naturals, for example, 84916 + ... + 85316.

It is an arithmetic number, because the mean of its divisors is an integer number (1713726).

Almost surely, 234131516 is an apocalyptic number.

It is an amenable number.

34131516 is an abundant number, since it is smaller than the sum of its proper divisors (48127332).

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

34131516 is a wasteful number, since it uses less digits than its factorization.

34131516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 34131516 is about 5842.2184142670. The cubic root of 34131516 is about 324.3783493553.

Adding to 34131516 its reverse (61513143), we get a palindrome (95644659).

The spelling of 34131516 in words is "thirty-four million, one hundred thirty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 41 82 123 164 173 246 346 401 492 519 692 802 1038 1203 1604 2076 2406 4812 7093 14186 16441 21279 28372 32882 42558 49323 65764 69373 85116 98646 138746 197292 208119 277492 416238 832476 2844293 5688586 8532879 11377172 17065758 34131516