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73000431 = 3271768161
BaseRepresentation
bin1000101100111…
…10010111101111
312002100210202200
410112132113233
5122142003211
611124352543
71544331150
oct426362757
9162323680
1073000431
1138230339
1220545753
131217c42a
1499a3927
15661eb56
hex459e5ef

73000431 has 24 divisors (see below), whose sum is σ = 127599264. Its totient is φ = 39260160.

The previous prime is 73000427. The next prime is 73000439. The reversal of 73000431 is 13400037.

It is not a de Polignac number, because 73000431 - 22 = 73000427 is a prime.

It is a super-2 number, since 2×730004312 = 10658125852371522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73000439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33010 + ... + 35151.

It is an arithmetic number, because the mean of its divisors is an integer number (5316636).

Almost surely, 273000431 is an apocalyptic number.

73000431 is a deficient number, since it is larger than the sum of its proper divisors (54598833).

73000431 is a wasteful number, since it uses less digits than its factorization.

73000431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68191 (or 68188 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73000431 is about 8544.0289676475. The cubic root of 73000431 is about 417.9347421457.

Adding to 73000431 its reverse (13400037), we get a palindrome (86400468).

The spelling of 73000431 in words is "seventy-three million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 68161 204483 477127 613449 1158737 1431381 3476211 4294143 8111159 10428633 24333477 73000431