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34102144 = 27299187
BaseRepresentation
bin1000001000010…
…1101110000000
32101011120100101
42002011232000
532212232034
63214532144
7562602106
oct202055600
971146311
1034102144
111828249a
12b507054
1370b01ab
144759c76
152ed9514
hex2085b80

34102144 has 32 divisors (see below), whose sum is σ = 70288200. Its totient is φ = 16461312.

The previous prime is 34102109. The next prime is 34102151. The reversal of 34102144 is 44120143.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 882 + ... + 8305.

Almost surely, 234102144 is an apocalyptic number.

It is an amenable number.

34102144 is an abundant number, since it is smaller than the sum of its proper divisors (36186056).

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

34102144 is an equidigital number, since it uses as much as digits as its factorization.

34102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9230 (or 9218 counting only the distinct ones).

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

The square root of 34102144 is about 5839.7041020928. The cubic root of 34102144 is about 324.2852743294.

Adding to 34102144 its reverse (44120143), we get a palindrome (78222287).

The spelling of 34102144 in words is "thirty-four million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 9187 18374 36748 73496 146992 266423 293984 532846 587968 1065692 1175936 2131384 4262768 8525536 17051072 34102144