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145590324 = 223112973521
BaseRepresentation
bin10001010110110…
…00100000110100
3101010221202101020
420223120200310
5244232342244
622240301140
73415332405
oct1053304064
9333852336
10145590324
1175200190
12409117b0
1324216a29
141549b9ac
15cbacd19
hex8ad8834

145590324 has 96 divisors (see below), whose sum is σ = 389370240. Its totient is φ = 41932800.

The previous prime is 145590287. The next prime is 145590337. The reversal of 145590324 is 423095541.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279184 + ... + 279704.

It is an arithmetic number, because the mean of its divisors is an integer number (4055940).

Almost surely, 2145590324 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 145590324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194685120).

145590324 is an abundant number, since it is smaller than the sum of its proper divisors (243779916).

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

145590324 is a wasteful number, since it uses less digits than its factorization.

145590324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 145590324 is about 12066.0815511913. The cubic root of 145590324 is about 526.0707688134.

The spelling of 145590324 in words is "one hundred forty-five million, five hundred ninety thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 73 87 116 132 146 174 219 292 319 348 438 521 638 803 876 957 1042 1276 1563 1606 1914 2084 2117 2409 3126 3212 3828 4234 4818 5731 6252 6351 8468 9636 11462 12702 15109 17193 22924 23287 25404 30218 34386 38033 45327 46574 60436 68772 69861 76066 90654 93148 114099 139722 152132 166199 181308 228198 279444 332398 418363 456396 498597 664796 836726 997194 1102957 1255089 1673452 1994388 2205914 2510178 3308871 4411828 5020356 6617742 12132527 13235484 24265054 36397581 48530108 72795162 145590324