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144380952 = 23327192789
BaseRepresentation
bin10001001101100…
…01010000011000
3101001200022102200
420212301100120
5243430142302
622154330200
73402134502
oct1046612030
9331608380
10144380952
1174554601
1240429960
1323bb2421
1415264d72
15ca1e81c
hex89b1418

144380952 has 48 divisors (see below), whose sum is σ = 391716000. Its totient is φ = 48042816.

The previous prime is 144380947. The next prime is 144380963. The reversal of 144380952 is 259083441.

It is a Harshad number since it is a multiple of its sum of digits (36).

144380952 is a modest number, since divided by 380952 gives 144 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50374 + ... + 53162.

It is an arithmetic number, because the mean of its divisors is an integer number (8160750).

Almost surely, 2144380952 is an apocalyptic number.

144380952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144380952 is an abundant number, since it is smaller than the sum of its proper divisors (247335048).

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

144380952 is a wasteful number, since it uses less digits than its factorization.

144380952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 144380952 is about 12015.8625158579. The cubic root of 144380952 is about 524.6100832702.

The spelling of 144380952 in words is "one hundred forty-four million, three hundred eighty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 719 1438 2157 2789 2876 4314 5578 5752 6471 8367 8628 11156 12942 16734 17256 22312 25101 25884 33468 50202 51768 66936 100404 200808 2005291 4010582 6015873 8021164 12031746 16042328 18047619 24063492 36095238 48126984 72190476 144380952