Search a number
-
+
69340864320 = 26335721343293
BaseRepresentation
bin100000010010100001…
…0011001111101000000
320121222111001212201000
41000211002121331000
52114002230124240
651504343212000
75003221423200
oct1004502317500
9217874055630
1069340864320
1127453123742
1211532147000
136700a15340
1434db278400
151c0c811430
hex1025099f40

69340864320 has 1344 divisors, whose sum is σ = 314642845440. Its totient is φ = 14241153024.

The previous prime is 69340864297. The next prime is 69340864339. The reversal of 69340864320 is 2346804396.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 236658094 + ... + 236658386.

It is an arithmetic number, because the mean of its divisors is an integer number (234109260).

Almost surely, 269340864320 is an apocalyptic number.

69340864320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69340864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157321422720).

69340864320 is an abundant number, since it is smaller than the sum of its proper divisors (245301981120).

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

69340864320 is a wasteful number, since it uses less digits than its factorization.

69340864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 69340864320 in words is "sixty-nine billion, three hundred forty million, eight hundred sixty-four thousand, three hundred twenty".