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1230474240 = 2103552343
BaseRepresentation
bin100100101010111…
…1000110000000000
310011202100120100000
41021111320300000
510010000133430
6322033200000
742330600312
oct11125706000
93152316300
101230474240
11581630566
122a4100000
13167c04288
14b95c37b2
1573059e60
hex49578c00

1230474240 has 528 divisors, whose sum is σ = 4721004288. Its totient is φ = 306561024.

The previous prime is 1230474211. The next prime is 1230474251. The reversal of 1230474240 is 424740321.

1230474240 is a `hidden beast` number, since 1 + 230 + 4 + 7 + 424 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28615659 + ... + 28615701.

It is an arithmetic number, because the mean of its divisors is an integer number (8941296).

Almost surely, 21230474240 is an apocalyptic number.

1230474240 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 1230474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360502144).

1230474240 is an abundant number, since it is smaller than the sum of its proper divisors (3490530048).

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

1230474240 is an equidigital number, since it uses as much as digits as its factorization.

1230474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1230474240 is about 35078.1162550100. The cubic root of 1230474240 is about 1071.5789539775.

The spelling of 1230474240 in words is "one billion, two hundred thirty million, four hundred seventy-four thousand, two hundred forty".