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144431352 = 233213236709
BaseRepresentation
bin10001001101111…
…01100011111000
3101001202212120100
420212331203320
5243433300402
622155355400
73402434442
oct1046754370
9331685510
10144431352
117458945a
1240452b60
1323bcc350
1415279492
15ca2e71c
hex89bd8f8

144431352 has 96 divisors (see below), whose sum is σ = 439639200. Its totient is φ = 42501888.

The previous prime is 144431323. The next prime is 144431359. The reversal of 144431352 is 253134441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144431359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18174 + ... + 24882.

It is an arithmetic number, because the mean of its divisors is an integer number (4579575).

Almost surely, 2144431352 is an apocalyptic number.

144431352 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 144431352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219819600).

144431352 is an abundant number, since it is smaller than the sum of its proper divisors (295207848).

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

144431352 is a wasteful number, since it uses less digits than its factorization.

144431352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6750 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 144431352 is about 12017.9595605910. The cubic root of 144431352 is about 524.6711191891.

Adding to 144431352 its reverse (253134441), we get a palindrome (397565793).

The spelling of 144431352 in words is "one hundred forty-four million, four hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3588 5382 6709 7176 10764 13418 20127 21528 26836 40254 53672 60381 80508 87217 120762 154307 161016 174434 241524 261651 308614 348868 462921 483048 523302 617228 697736 784953 925842 1046604 1234456 1388763 1569906 1851684 2005991 2093208 2777526 3139812 3703368 4011982 5555052 6017973 6279624 8023964 11110104 12035946 16047928 18053919 24071892 36107838 48143784 72215676 144431352