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73104408 = 23321383941
BaseRepresentation
bin1000101101101…
…11110000011000
312002120002101200
410112313300120
5122203320113
611130514200
71545243246
oct426676030
9162502350
1073104408
11382a1473
1220595960
13121b7860
1499cd796
156640873
hex45b7c18

73104408 has 96 divisors (see below), whose sum is σ = 216019440. Its totient is φ = 22199040.

The previous prime is 73104401. The next prime is 73104461. The reversal of 73104408 is 80440137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73104401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77218 + ... + 78158.

Almost surely, 273104408 is an apocalyptic number.

73104408 is a gapful number since it is divisible by the number (78) 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 73104408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108009720).

73104408 is an abundant number, since it is smaller than the sum of its proper divisors (142915032).

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

73104408 is a wasteful number, since it uses less digits than its factorization.

73104408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73104408 is about 8550.1115782193. Note that the first 3 decimals coincide. The cubic root of 73104408 is about 418.1330742406.

The spelling of 73104408 in words is "seventy-three million, one hundred four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 83 104 117 156 166 234 249 312 332 468 498 664 747 936 941 996 1079 1494 1882 1992 2158 2823 2988 3237 3764 4316 5646 5976 6474 7528 8469 8632 9711 11292 12233 12948 16938 19422 22584 24466 25896 33876 36699 38844 48932 67752 73398 77688 78103 97864 110097 146796 156206 220194 234309 293592 312412 440388 468618 624824 702927 880776 937236 1015339 1405854 1874472 2030678 2811708 3046017 4061356 5623416 6092034 8122712 9138051 12184068 18276102 24368136 36552204 73104408