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80414301 = 31121783157
BaseRepresentation
bin1001100101100…
…00011001011101
312121022110200110
410302300121131
5131041224201
611551320233
71664340012
oct462603135
9177273613
1080414301
1141434500
1222b20079
1313876b36
14a973709
1570d66d6
hex4cb065d

80414301 has 48 divisors (see below), whose sum is σ = 127092672. Its totient is φ = 45027840.

The previous prime is 80414293. The next prime is 80414309. The reversal of 80414301 is 10341408.

It is an interprime number because it is at equal distance from previous prime (80414293) and next prime (80414309).

It is not a de Polignac number, because 80414301 - 23 = 80414293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80414309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512115 + ... + 512271.

It is an arithmetic number, because the mean of its divisors is an integer number (2647764).

Almost surely, 280414301 is an apocalyptic number.

It is an amenable number.

80414301 is a deficient number, since it is larger than the sum of its proper divisors (46678371).

80414301 is a wasteful number, since it uses less digits than its factorization.

80414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 80414301 is about 8967.4021321674. The cubic root of 80414301 is about 431.6294780370.

Adding to 80414301 its reverse (10341408), we get a palindrome (90755709).

The spelling of 80414301 in words is "eighty million, four hundred fourteen thousand, three hundred one".

Divisors: 1 3 11 17 33 51 83 121 157 187 249 363 471 561 913 1411 1727 2057 2669 2739 4233 5181 6171 8007 10043 13031 15521 18997 29359 30129 39093 46563 56991 88077 143341 170731 221527 322949 430023 512193 664581 968847 1576751 2436797 4730253 7310391 26804767 80414301