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1241003904 = 27373153281
BaseRepresentation
bin100100111111000…
…0011011110000000
310012111011112022120
41021332003132000
510020144111104
6323051004240
742516234120
oct11176033600
93174145276
101241003904
11587572668
122a7739680
1316a14cc4a
14bab64c80
1573e39cd9
hex49f83780

1241003904 has 256 divisors, whose sum is σ = 3976335360. Its totient is φ = 335462400.

The previous prime is 1241003903. The next prime is 1241003917. The reversal of 1241003904 is 4093001421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241003903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4416244 + ... + 4416524.

It is an arithmetic number, because the mean of its divisors is an integer number (15532560).

Almost surely, 21241003904 is an apocalyptic number.

1241003904 is a gapful number since it is divisible by the number (14) 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 1241003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988167680).

1241003904 is an abundant number, since it is smaller than the sum of its proper divisors (2735331456).

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

1241003904 is a wasteful number, since it uses less digits than its factorization.

1241003904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1241003904 is about 35227.8853183100. The cubic root of 1241003904 is about 1074.6269205465.

The spelling of 1241003904 in words is "one billion, two hundred forty-one million, three thousand, nine hundred four".