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145232340 = 2235111971117
BaseRepresentation
bin10001010100000…
…01000111010100
3101010021120022120
420222001013110
5244134413330
622224455540
73412311621
oct1052010724
9333246276
10145232340
1174a86230
124077a5b0
132411cac6
1415407348
15cb3bc10
hex8a811d4

145232340 has 96 divisors (see below), whose sum is σ = 446269824. Its totient is φ = 34997760.

The previous prime is 145232317. The next prime is 145232357. The reversal of 145232340 is 43232541.

It is a self number, because there is not a number n which added to its sum of digits gives 145232340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129462 + ... + 130578.

It is an arithmetic number, because the mean of its divisors is an integer number (4648644).

Almost surely, 2145232340 is an apocalyptic number.

145232340 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 145232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223134912).

145232340 is an abundant number, since it is smaller than the sum of its proper divisors (301037484).

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

145232340 is a wasteful number, since it uses less digits than its factorization.

145232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 145232340 is about 12051.2381106673. The cubic root of 145232340 is about 525.6392394873.

Adding to 145232340 its reverse (43232541), we get a palindrome (188464881).

The spelling of 145232340 in words is "one hundred forty-five million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 197 220 330 394 591 660 788 985 1117 1182 1970 2167 2234 2364 2955 3351 3940 4334 4468 5585 5910 6501 6702 8668 10835 11170 11820 12287 13002 13404 16755 21670 22340 24574 26004 32505 33510 36861 43340 49148 61435 65010 67020 73722 122870 130020 147444 184305 220049 245740 368610 440098 660147 737220 880196 1100245 1320294 2200490 2420539 2640588 3300735 4400980 4841078 6601470 7261617 9682156 12102695 13202940 14523234 24205390 29046468 36308085 48410780 72616170 145232340