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1234040832 = 2113443173
BaseRepresentation
bin100100110001101…
…1111100000000000
310012000001202210000
41021203133200000
510011403301312
6322241440000
742403113453
oct11143374000
93160052700
101234040832
11583647162
122a5340000
1316888279b
14b9c7149a
1573511adc
hex498df800

1234040832 has 240 divisors, whose sum is σ = 3793509720. Its totient is φ = 399458304.

The previous prime is 1234040767. The next prime is 1234040833. The reversal of 1234040832 is 2380404321.

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 = 1234040796 and 1234040805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234040833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7133098 + ... + 7133270.

Almost surely, 21234040832 is an apocalyptic number.

1234040832 is a gapful number since it is divisible by the number (12) 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 1234040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896754860).

1234040832 is an abundant number, since it is smaller than the sum of its proper divisors (2559468888).

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

1234040832 is an equidigital number, since it uses as much as digits as its factorization.

1234040832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1234040832 is about 35128.9173189269. The cubic root of 1234040832 is about 1072.6132972393.

The spelling of 1234040832 in words is "one billion, two hundred thirty-four million, forty thousand, eight hundred thirty-two".