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104000344 = 2373151251
BaseRepresentation
bin1100011001011…
…10101101011000
321020200202122121
412030232231120
5203111002334
614153031024
72401663000
oct614565530
9236622577
10104000344
1153783aa8
122a9b5474
1318714586
14db53000
1591e4db4
hex632eb58

104000344 has 64 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 44100000.

The previous prime is 104000333. The next prime is 104000353. The reversal of 104000344 is 443000401.

It is a nialpdrome in base 14.

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, 414219 + ... + 414469.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2104000344 is an apocalyptic number.

104000344 is a gapful number since it is divisible by the number (14) 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 104000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

104000344 is an abundant number, since it is smaller than the sum of its proper divisors (125823656).

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

104000344 is a wasteful number, since it uses less digits than its factorization.

104000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 104000344 is about 10198.0558931592. The cubic root of 104000344 is about 470.2674560430.

Adding to 104000344 its reverse (443000401), we get a palindrome (547000745).

The spelling of 104000344 in words is "one hundred four million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 49 56 98 151 196 251 302 343 392 502 604 686 1004 1057 1208 1372 1757 2008 2114 2744 3514 4228 7028 7399 8456 12299 14056 14798 24598 29596 37901 49196 51793 59192 75802 86093 98392 103586 151604 172186 207172 265307 303208 344372 414344 530614 688744 1061228 1857149 2122456 3714298 7428596 13000043 14857192 26000086 52000172 104000344