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34081944 = 23313313349
BaseRepresentation
bin1000001000000…
…0110010011000
32101010112122020
42002000302120
532211110234
63214254440
7562456161
oct202006230
971115566
1034081944
11182692a6
12b4b7420
1370a3c40
144752768
152ed3549
hex2080c98

34081944 has 64 divisors (see below), whose sum is σ = 92316000. Its totient is φ = 10423296.

The previous prime is 34081939. The next prime is 34081951. The reversal of 34081944 is 44918043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97482 + ... + 97830.

Almost surely, 234081944 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 34081944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46158000).

34081944 is an abundant number, since it is smaller than the sum of its proper divisors (58234056).

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

34081944 is a wasteful number, since it uses less digits than its factorization.

34081944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 34081944 is about 5837.9743062127. The cubic root of 34081944 is about 324.2212328394.

Adding to 34081944 its reverse (44918043), we get a palindrome (78999987).

The spelling of 34081944 in words is "thirty-four million, eighty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 313 349 626 698 939 1047 1252 1396 1878 2094 2504 2792 3756 4069 4188 4537 7512 8138 8376 9074 12207 13611 16276 18148 24414 27222 32552 36296 48828 54444 97656 108888 109237 218474 327711 436948 655422 873896 1310844 1420081 2621688 2840162 4260243 5680324 8520486 11360648 17040972 34081944