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34481104 = 247361103
BaseRepresentation
bin1000001110001…
…0001111010000
32101212211011221
42003202033100
532311343404
63231014424
7566041000
oct203421720
971784157
1034481104
1118511189
12b66a414
1371b3828
144818000
153061954
hex20e23d0

34481104 has 80 divisors (see below), whose sum is σ = 79955200. Its totient is φ = 14394240.

The previous prime is 34481093. The next prime is 34481129. The reversal of 34481104 is 40118443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334717 + ... + 334819.

It is an arithmetic number, because the mean of its divisors is an integer number (999440).

Almost surely, 234481104 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 34481104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39977600).

34481104 is an abundant number, since it is smaller than the sum of its proper divisors (45474096).

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

34481104 is a wasteful number, since it uses less digits than its factorization.

34481104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 34481104 is about 5872.0613075819. The cubic root of 34481104 is about 325.4820585941.

Adding to 34481104 its reverse (40118443), we get a palindrome (74599547).

The spelling of 34481104 in words is "thirty-four million, four hundred eighty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 103 112 122 196 206 244 343 392 412 427 488 686 721 784 824 854 976 1372 1442 1648 1708 2744 2884 2989 3416 5047 5488 5768 5978 6283 6832 10094 11536 11956 12566 20188 20923 23912 25132 35329 40376 41846 43981 47824 50264 70658 80752 83692 87962 100528 141316 167384 175924 282632 307867 334768 351848 565264 615734 703696 1231468 2155069 2462936 4310138 4925872 8620276 17240552 34481104