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1234231830 = 2345131931199
BaseRepresentation
bin100100110010000…
…1110001000010110
310012000102110210000
41021210032020112
510011430404310
6322245512130
742404540346
oct11144161026
93160373700
101234231830
11583767707
122a5412646
1316891b6c0
14b9cc0d26
157354d4c0
hex4990e216

1234231830 has 320 divisors, whose sum is σ = 3902976000. Its totient is φ = 277136640.

The previous prime is 1234231787. The next prime is 1234231883. The reversal of 1234231830 is 381324321.

1234231830 is a `hidden beast` number, since 1 + 2 + 342 + 318 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1234231794 and 1234231803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6202071 + ... + 6202269.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 21234231830 is an apocalyptic number.

1234231830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234231830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951488000).

1234231830 is an abundant number, since it is smaller than the sum of its proper divisors (2668744170).

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

1234231830 is a wasteful number, since it uses less digits than its factorization.

1234231830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1234231830 is about 35131.6357433012. The cubic root of 1234231830 is about 1072.6686320982.

The spelling of 1234231830 in words is "one billion, two hundred thirty-four million, two hundred thirty-one thousand, eight hundred thirty".