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1468834240 = 2654590107
BaseRepresentation
bin101011110001100…
…1010000111000000
310210100212111210011
41113203022013000
511002010143430
6401430114304
751253612366
oct12743120700
93710774704
101468834240
116941339a5
1234baab994
131a53cc7b3
14dd10d636
1588e4022a
hex578ca1c0

1468834240 has 28 divisors (see below), whose sum is σ = 3497662296. Its totient is φ = 587533568.

The previous prime is 1468834231. The next prime is 1468834277. The reversal of 1468834240 is 424388641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1468834193 and 1468834202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2294734 + ... + 2295373.

Almost surely, 21468834240 is an apocalyptic number.

1468834240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468834240 is an abundant number, since it is smaller than the sum of its proper divisors (2028828056).

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

1468834240 is an equidigital number, since it uses as much as digits as its factorization.

1468834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590124 (or 4590114 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 1468834240 is about 38325.3733184688. The cubic root of 1468834240 is about 1136.7307174696.

The spelling of 1468834240 in words is "one billion, four hundred sixty-eight million, eight hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 4590107 9180214 18360428 22950535 36720856 45901070 73441712 91802140 146883424 183604280 293766848 367208560 734417120 1468834240