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1010360340 = 223251119107251
BaseRepresentation
bin111100001110001…
…110000000010100
32121102011121211100
4330032032000110
54032123012330
6244131310100
734015630653
oct7416160024
92542147740
101010360340
1147935a750
1224244b330
13131426a72
149828719a
155da7b060
hex3c38e014

1010360340 has 288 divisors, whose sum is σ = 3566384640. Its totient is φ = 228960000.

The previous prime is 1010360333. The next prime is 1010360387. The reversal of 1010360340 is 430630101.

1010360340 is a `hidden beast` number, since 10 + 10 + 3 + 603 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4025215 + ... + 4025465.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 21010360340 is an apocalyptic number.

1010360340 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 1010360340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783192320).

1010360340 is an abundant number, since it is smaller than the sum of its proper divisors (2556024300).

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

1010360340 is a wasteful number, since it uses less digits than its factorization.

1010360340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1010360340 is about 31786.1658587506. The cubic root of 1010360340 is about 1003.4415885469.

Adding to 1010360340 its reverse (430630101), we get a palindrome (1440990441).

The spelling of 1010360340 in words is "one billion, ten million, three hundred sixty thousand, three hundred forty".