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145255344 = 243131713693
BaseRepresentation
bin10001010100001…
…10101110110000
3101010022201212120
420222012232300
5244141132334
622225154240
73412435653
oct1052065660
9333281776
10145255344
1174aa1543
124078b980
132412a410
141541189a
15cb43949
hex8a86bb0

145255344 has 80 divisors (see below), whose sum is σ = 427910112. Its totient is φ = 42061824.

The previous prime is 145255343. The next prime is 145255379. The reversal of 145255344 is 443552541.

145255344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1452553442 = 42198229921116672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145255343) 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, 3762 + ... + 17454.

Almost surely, 2145255344 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 145255344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213955056).

145255344 is an abundant number, since it is smaller than the sum of its proper divisors (282654768).

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

145255344 is a wasteful number, since it uses less digits than its factorization.

145255344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13734 (or 13728 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 145255344 is about 12052.1924976330. The cubic root of 145255344 is about 525.6669908056. Note that the first 3 decimals are identical.

The spelling of 145255344 in words is "one hundred forty-five million, two hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 13693 27386 41079 54772 82158 109544 164316 178009 219088 232781 328632 356018 465562 534027 657264 698343 712036 931124 1068054 1396686 1424072 1862248 2136108 2793372 2848144 3026153 3724496 4272216 5586744 6052306 8544432 9078459 11173488 12104612 18156918 24209224 36313836 48418448 72627672 145255344