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71440368 = 24331411171
BaseRepresentation
bin1000100001000…
…01011111110000
311222102112202120
410100201133300
5121242042433
611031114240
71525142646
oct420413760
9158375676
1071440368
113736522a
121bb12980
1311a5430c
1496b9196
1564127b3
hex44217f0

71440368 has 80 divisors (see below), whose sum is σ = 195320832. Its totient is φ = 22464000.

The previous prime is 71440367. The next prime is 71440381. The reversal of 71440368 is 86304417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71440367) 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, 60423 + ... + 61593.

Almost surely, 271440368 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 71440368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97660416).

71440368 is an abundant number, since it is smaller than the sum of its proper divisors (123880464).

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

71440368 is a wasteful number, since it uses less digits than its factorization.

71440368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 71440368 is about 8452.2404130503. The cubic root of 71440368 is about 414.9361066778.

The spelling of 71440368 in words is "seventy-one million, four hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1171 1271 1488 1968 2342 2542 3513 3813 4684 5084 7026 7626 9368 10168 14052 15252 18736 20336 28104 30504 36301 48011 56208 61008 72602 96022 108903 144033 145204 192044 217806 288066 290408 384088 435612 576132 580816 768176 871224 1152264 1488341 1742448 2304528 2976682 4465023 5953364 8930046 11906728 17860092 23813456 35720184 71440368