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103404384 = 2533196299
BaseRepresentation
bin1100010100111…
…01001101100000
321012120111011000
412022131031200
5202432420014
614132152000
72363631336
oct612351540
9235514130
10103404384
1153407276
122a768600
1318566235
14da39b56
159128509
hex629d360

103404384 has 96 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 32648832.

The previous prime is 103404359. The next prime is 103404391. The reversal of 103404384 is 483404301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13267 + ... + 19565.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2103404384 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 103404384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760000).

103404384 is an abundant number, since it is smaller than the sum of its proper divisors (214115616).

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

103404384 is a wasteful number, since it uses less digits than its factorization.

103404384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 103404384 is about 10168.7946188327. The cubic root of 103404384 is about 469.3674665975.

Adding to 103404384 its reverse (483404301), we get a palindrome (586808685).

The spelling of 103404384 in words is "one hundred three million, four hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 6299 8208 12598 16416 18897 25196 37794 50392 56691 75588 100784 113382 119681 151176 170073 201568 226764 239362 302352 340146 359043 453528 478724 604704 680292 718086 907056 957448 1077129 1360584 1436172 1814112 1914896 2154258 2721168 2872344 3231387 3829792 4308516 5442336 5744688 6462774 8617032 11489376 12925548 17234064 25851096 34468128 51702192 103404384