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144926340 = 2235132943149
BaseRepresentation
bin10001010001101…
…10011010000100
3101002201000120020
420220312122010
5244100120330
622214135140
73406565526
oct1050663204
9332630506
10144926340
1174897339
12406514b0
1324043740
1415367a16
15cacb210
hex8a36684

144926340 has 192 divisors, whose sum is σ = 465696000. Its totient is φ = 33417216.

The previous prime is 144926339. The next prime is 144926347. The reversal of 144926340 is 43629441.

It is not an unprimeable number, because it can be changed into a prime (144926347) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 972586 + ... + 972734.

It is an arithmetic number, because the mean of its divisors is an integer number (2425500).

Almost surely, 2144926340 is an apocalyptic number.

144926340 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 144926340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848000).

144926340 is an abundant number, since it is smaller than the sum of its proper divisors (320769660).

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

144926340 is a wasteful number, since it uses less digits than its factorization.

144926340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 144926340 is about 12038.5356252328. The cubic root of 144926340 is about 525.2698114264.

The spelling of 144926340 in words is "one hundred forty-four million, nine hundred twenty-six thousand, three hundred forty".