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144238336 = 28111723131
BaseRepresentation
bin10001001100011…
…10011100000000
3101001102001210121
420212032130000
5243411111321
622151310024
73401001634
oct1046163400
9331361717
10144238336
1174467440
124037b314
1323b62538
1415228dc4
15c9e2441
hex898e700

144238336 has 144 divisors (see below), whose sum is σ = 349671168. Its totient is φ = 58572800.

The previous prime is 144238331. The next prime is 144238351. The reversal of 144238336 is 633832441.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144238331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100991 + ... + 1101121.

It is an arithmetic number, because the mean of its divisors is an integer number (2428272).

Almost surely, 2144238336 is an apocalyptic number.

144238336 is a gapful number since it is divisible by the number (16) 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 144238336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174835584).

144238336 is an abundant number, since it is smaller than the sum of its proper divisors (205432832).

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

144238336 is a wasteful number, since it uses less digits than its factorization.

144238336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 144238336 is about 12009.9265609745. The cubic root of 144238336 is about 524.4372939964.

The spelling of 144238336 in words is "one hundred forty-four million, two hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 64 68 88 92 128 131 136 176 184 187 253 256 262 272 352 368 374 391 506 524 544 704 736 748 782 1012 1048 1088 1408 1441 1472 1496 1564 2024 2096 2176 2227 2816 2882 2944 2992 3013 3128 4048 4192 4301 4352 4454 5764 5888 5984 6026 6256 8096 8384 8602 8908 11528 11968 12052 12512 16192 16768 17204 17816 23056 23936 24104 24497 25024 32384 33143 33536 34408 35632 46112 47872 48208 48994 50048 51221 64768 66286 68816 71264 92224 96416 97988 100096 102442 132572 137632 142528 184448 192832 195976 204884 265144 275264 285056 368896 385664 391952 409768 530288 550528 563431 570112 771328 783904 819536 1060576 1101056 1126862 1567808 1639072 2121152 2253724 3135616 3278144 4242304 4507448 6271232 6556288 8484608 9014896 13112576 18029792 36059584 72119168 144238336