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4031104 = 27711409
BaseRepresentation
bin1111011000001010000000
321120210122011
433120022000
52012443404
6222222304
746156330
oct17301200
97523564
104031104
1123036a0
121424994
13ab1a8c
1476d0c0
15549604
hex3d8280

4031104 has 64 divisors (see below), whose sum is σ = 10036800. Its totient is φ = 1566720.

The previous prime is 4031101. The next prime is 4031117. The reversal of 4031104 is 4011304.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4031101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9652 + ... + 10060.

It is an arithmetic number, because the mean of its divisors is an integer number (156825).

Almost surely, 24031104 is an apocalyptic number.

4031104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018400).

4031104 is an abundant number, since it is smaller than the sum of its proper divisors (6005696).

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

4031104 is a wasteful number, since it uses less digits than its factorization.

4031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4031104 is about 2007.7609419450. The cubic root of 4031104 is about 159.1504976433.

Adding to 4031104 its reverse (4011304), we get a palindrome (8042408).

The spelling of 4031104 in words is "four million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 409 448 616 704 818 896 1232 1408 1636 2464 2863 3272 4499 4928 5726 6544 8998 9856 11452 13088 17996 22904 26176 31493 35992 45808 52352 62986 71984 91616 125972 143968 183232 251944 287936 366464 503888 575872 1007776 2015552 4031104