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1003242240 = 283357111329
BaseRepresentation
bin111011110011000…
…100001100000000
32120220202222122000
4323303010030000
54023312222430
6243314544000
733601263330
oct7363041400
92526688560
101003242240
11475338820
1223bb98000
1312cb03b80
14973530c0
155d121e60
hex3bcc4300

1003242240 has 1152 divisors, whose sum is σ = 4944844800. Its totient is φ = 185794560.

The previous prime is 1003242239. The next prime is 1003242241. The reversal of 1003242240 is 422423001.

1003242240 is a `hidden beast` number, since 100 + 324 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (1003242239) and next prime (1003242241).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003242241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34594546 + ... + 34594574.

It is an arithmetic number, because the mean of its divisors is an integer number (4292400).

Almost surely, 21003242240 is an apocalyptic number.

1003242240 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 1003242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472422400).

1003242240 is an abundant number, since it is smaller than the sum of its proper divisors (3941602560).

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

1003242240 is a wasteful number, since it uses less digits than its factorization.

1003242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1003242240 is about 31673.9994317105. Note that the first 3 decimals coincide. The cubic root of 1003242240 is about 1001.0795807526.

Adding to 1003242240 its reverse (422423001), we get a palindrome (1425665241).

The spelling of 1003242240 in words is "one billion, three million, two hundred forty-two thousand, two hundred forty".