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73014424 = 23731137307
BaseRepresentation
bin1000101101000…
…01110010011000
312002101111221221
410112201302120
5122142430144
611124541424
71544420020
oct426416230
9162344857
1073014424
113823a8aa
1220551874
1312185902
1499a8a80
156623d84
hex45a1c98

73014424 has 64 divisors (see below), whose sum is σ = 163215360. Its totient is φ = 29963520.

The previous prime is 73014421. The next prime is 73014427. The reversal of 73014424 is 42441037.

It is an interprime number because it is at equal distance from previous prime (73014421) and next prime (73014427).

It is a super-2 number, since 2×730144242 = 10662212224103552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73014421) 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 15 ways as a sum of consecutive naturals, for example, 237679 + ... + 237985.

It is an arithmetic number, because the mean of its divisors is an integer number (2550240).

Almost surely, 273014424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81607680).

73014424 is an abundant number, since it is smaller than the sum of its proper divisors (90200936).

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

73014424 is a wasteful number, since it uses less digits than its factorization.

73014424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 73014424 is about 8544.8478043790. The cubic root of 73014424 is about 417.9614442128.

The spelling of 73014424 in words is "seventy-three million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 137 217 248 274 307 434 548 614 868 959 1096 1228 1736 1918 2149 2456 3836 4247 4298 7672 8494 8596 9517 16988 17192 19034 29729 33976 38068 42059 59458 66619 76136 84118 118916 133238 168236 237832 266476 294413 336472 532952 588826 1177652 1303829 2355304 2607658 5215316 9126803 10430632 18253606 36507212 73014424