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73468032 = 2731117393
BaseRepresentation
bin1000110000100…
…00100010000000
312010020120012020
410120100202000
5122301434112
611142401440
71551316341
oct430204200
9163216166
1073468032
113851a690
1220730280
13122b4211
149a860c8
1566b348c
hex4610880

73468032 has 64 divisors (see below), whose sum is σ = 212902560. Its totient is φ = 22261760.

The previous prime is 73468027. The next prime is 73468063. The reversal of 73468032 is 23086437.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 73467984 and 73468002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4473 + ... + 12920.

Almost surely, 273468032 is an apocalyptic number.

It is an amenable number.

73468032 is an abundant number, since it is smaller than the sum of its proper divisors (139434528).

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

73468032 is a wasteful number, since it uses less digits than its factorization.

73468032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17421 (or 17409 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 73468032 is about 8571.3494853494. The cubic root of 73468032 is about 418.8251976932.

The spelling of 73468032 in words is "seventy-three million, four hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 17393 34786 52179 69572 104358 139144 191323 208716 278288 382646 417432 556576 573969 765292 834864 1113152 1147938 1530584 1669728 2226304 2295876 3061168 3339456 4591752 6122336 6678912 9183504 12244672 18367008 24489344 36734016 73468032