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73438216 = 23411811237
BaseRepresentation
bin1000110000010…
…01010000001000
312010012001021221
410120021100020
5122300010331
611142011424
71551133405
oct430112010
9163161257
1073438216
11384aa245
1220716b74
13122a3787
149a792ac
1566a9711
hex4609408

73438216 has 32 divisors (see below), whose sum is σ = 141949080. Its totient is φ = 35596800.

The previous prime is 73438213. The next prime is 73438223. The reversal of 73438216 is 61283437.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29746116 + 43692100 = 5454^2 + 6610^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (73438213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58750 + ... + 59986.

Almost surely, 273438216 is an apocalyptic number.

73438216 is the 4948-th octagonal number.

It is an amenable number.

73438216 is a deficient number, since it is larger than the sum of its proper divisors (68510864).

73438216 is a wasteful number, since it uses less digits than its factorization.

73438216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1461 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 73438216 is about 8569.6100261330. The cubic root of 73438216 is about 418.7685318597.

The spelling of 73438216 in words is "seventy-three million, four hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 8 41 82 164 181 328 362 724 1237 1448 2474 4948 7421 9896 14842 29684 50717 59368 101434 202868 223897 405736 447794 895588 1791176 9179777 18359554 36719108 73438216