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1010314240 = 21051343353
BaseRepresentation
bin111100001110000…
…010110000000000
32121102002021120221
4330032002300000
54032120023430
6244130312424
734015346365
oct7416026000
92542067527
101010314240
11479329051
12242428714
1313140baa0
149827446c
155da6c57a
hex3c382c00

1010314240 has 176 divisors, whose sum is σ = 2678262048. Its totient is φ = 363331584.

The previous prime is 1010314219. The next prime is 1010314241. The reversal of 1010314240 is 424130101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1010314241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2861904 + ... + 2862256.

It is an arithmetic number, because the mean of its divisors is an integer number (15217398).

Almost surely, 21010314240 is an apocalyptic number.

1010314240 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 1010314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339131024).

1010314240 is an abundant number, since it is smaller than the sum of its proper divisors (1667947808).

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

1010314240 is a wasteful number, since it uses less digits than its factorization.

1010314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1010314240 is about 31785.4406922415. The cubic root of 1010314240 is about 1003.4263268761.

Adding to 1010314240 its reverse (424130101), we get a palindrome (1434444341).

The spelling of 1010314240 in words is "one billion, ten million, three hundred fourteen thousand, two hundred forty".