Search a number
-
+
1073334240 = 25345117529
BaseRepresentation
bin111111111110011…
…100011111100000
32202210200000210000
4333332130133200
54144233143430
6254301140000
735412122226
oct7776343740
92683600700
101073334240
115009619a0
1225b55a600
131414a5524
14a279ab16
1564369e60
hex3ff9c7e0

1073334240 has 240 divisors, whose sum is σ = 4132885680. Its totient is φ = 260167680.

The previous prime is 1073334139. The next prime is 1073334247. The reversal of 1073334240 is 424333701.

1073334240 = 2652 + 2662 + ... + 14792.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073334247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138796 + ... + 146324.

It is an arithmetic number, because the mean of its divisors is an integer number (17220357).

Almost surely, 21073334240 is an apocalyptic number.

1073334240 is a gapful number since it is divisible by the number (10) 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 1073334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066442840).

1073334240 is an abundant number, since it is smaller than the sum of its proper divisors (3059551440).

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

1073334240 is a wasteful number, since it uses less digits than its factorization.

1073334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7567 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 1073334240 is about 32761.7801714132. The cubic root of 1073334240 is about 1023.8704161381.

Adding to 1073334240 its reverse (424333701), we get a palindrome (1497667941).

The spelling of 1073334240 in words is "one billion, seventy-three million, three hundred thirty-four thousand, two hundred forty".