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144329504 = 2511521787
BaseRepresentation
bin10001001101001…
…00101100100000
3101001120200212012
420212210230200
5243422021004
622153252052
73401531504
oct1046445440
9331520765
10144329504
1174519990
1240404028
1323b94b97
1415250304
15ca0e46e
hex89a4b20

144329504 has 48 divisors (see below), whose sum is σ = 310970016. Its totient is φ = 65395200.

The previous prime is 144329461. The next prime is 144329513. The reversal of 144329504 is 405923441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182999 + ... + 183785.

It is an arithmetic number, because the mean of its divisors is an integer number (6478542).

Almost surely, 2144329504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144329504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155485008).

144329504 is an abundant number, since it is smaller than the sum of its proper divisors (166640512).

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

144329504 is a wasteful number, since it uses less digits than its factorization.

144329504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 144329504 is about 12013.7214883649. The cubic root of 144329504 is about 524.5477635397.

The spelling of 144329504 in words is "one hundred forty-four million, three hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 521 787 1042 1574 2084 3148 4168 5731 6296 8336 8657 11462 12592 16672 17314 22924 25184 34628 45848 69256 91696 138512 183392 277024 410027 820054 1640108 3280216 4510297 6560432 9020594 13120864 18041188 36082376 72164752 144329504