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73034144 = 2512717971
BaseRepresentation
bin1000101101001…
…10100110100000
312002102112000022
410112212212200
5122144043034
611125213012
71544531351
oct426464640
9162375008
1073034144
11382536a7
1220561168
1312191891
1499b1d28
156629b2e
hex45a69a0

73034144 has 24 divisors (see below), whose sum is σ = 144926208. Its totient is φ = 36227520.

The previous prime is 73034123. The next prime is 73034147. The reversal of 73034144 is 44143037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73034147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4922 + ... + 13049.

It is an arithmetic number, because the mean of its divisors is an integer number (6038592).

Almost surely, 273034144 is an apocalyptic number.

It is an amenable number.

73034144 is a deficient number, since it is larger than the sum of its proper divisors (71892064).

73034144 is a wasteful number, since it uses less digits than its factorization.

73034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18108 (or 18100 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 73034144 is about 8546.0016381931. The cubic root of 73034144 is about 417.9990690058. Note that the first 3 decimals are identical.

The spelling of 73034144 in words is "seventy-three million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 127 254 508 1016 2032 4064 17971 35942 71884 143768 287536 575072 2282317 4564634 9129268 18258536 36517072 73034144