Search a number
-
+
71307378 = 235314733
BaseRepresentation
bin1000100000000…
…01000001110010
311222011210100000
410100001001302
5121223314003
611024210430
71524050142
oct420010162
9158153300
1071307378
113728431a
121ba69a16
1311a0891c
149682922
1563d81a3
hex4401072

71307378 has 48 divisors (see below), whose sum is σ = 165424896. Its totient is φ = 22997520.

The previous prime is 71307371. The next prime is 71307427. The reversal of 71307378 is 87370317.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71307371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12700 + ... + 17432.

It is an arithmetic number, because the mean of its divisors is an integer number (3446352).

Almost surely, 271307378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71307378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82712448).

71307378 is an abundant number, since it is smaller than the sum of its proper divisors (94117518).

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

71307378 is a wasteful number, since it uses less digits than its factorization.

71307378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 71307378 is about 8444.3696034695. The cubic root of 71307378 is about 414.6784716205.

The spelling of 71307378 in words is "seventy-one million, three hundred seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 4733 5022 7533 9466 14199 15066 28398 42597 85194 127791 146723 255582 293446 383373 440169 766746 880338 1150119 1320507 2300238 2641014 3961521 7923042 11884563 23769126 35653689 71307378