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144345640 = 23517792687
BaseRepresentation
bin10001001101010…
…00101000101000
3101001121111222211
420212220220220
5243423030030
622153454504
73401626525
oct1046505050
9331544884
10144345640
117453001a
1240411434
1323b9c32a
141525614c
15ca1412a
hex89a8a28

144345640 has 64 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 53634048.

The previous prime is 144345637. The next prime is 144345647. The reversal of 144345640 is 46543441.

It is not an unprimeable number, because it can be changed into a prime (144345647) 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, 52377 + ... + 55063.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2144345640 is an apocalyptic number.

144345640 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 144345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

144345640 is an abundant number, since it is smaller than the sum of its proper divisors (204019160).

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

144345640 is a wasteful number, since it uses less digits than its factorization.

144345640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 144345640 is about 12014.3930350226. The cubic root of 144345640 is about 524.5673109113.

The spelling of 144345640 in words is "one hundred forty-four million, three hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 79 85 136 158 170 316 340 395 632 680 790 1343 1580 2686 2687 3160 5372 5374 6715 10744 10748 13430 13435 21496 26860 26870 45679 53720 53740 91358 107480 182716 212273 228395 365432 424546 456790 849092 913580 1061365 1698184 1827160 2122730 3608641 4245460 7217282 8490920 14434564 18043205 28869128 36086410 72172820 144345640