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145344192 = 263732207
BaseRepresentation
bin10001010100111…
…00011011000000
3101010111020202020
420222130123000
5244202003232
622231121440
73413256000
oct1052343300
9333436666
10145344192
1175052274
1240813280
132415b9a6
1415436000
15cb5ee2c
hex8a9c6c0

145344192 has 112 divisors (see below), whose sum is σ = 448665600. Its totient is φ = 41508096.

The previous prime is 145344187. The next prime is 145344193. The reversal of 145344192 is 291443541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1453441922 = 42249868296265728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145344193) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64753 + ... + 66959.

Almost surely, 2145344192 is an apocalyptic number.

145344192 is a gapful number since it is divisible by the number (12) 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 145344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224332800).

145344192 is an abundant number, since it is smaller than the sum of its proper divisors (303321408).

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

145344192 is an equidigital number, since it uses as much as digits as its factorization.

145344192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2219 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 145344192 is about 12055.8779025005. The cubic root of 145344192 is about 525.7741467978.

The spelling of 145344192 in words is "one hundred forty-five million, three hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2207 2352 2744 3136 4116 4414 4704 5488 6621 8232 8828 9408 10976 13242 15449 16464 17656 21952 26484 30898 32928 35312 46347 52968 61796 65856 70624 92694 105936 108143 123592 141248 185388 211872 216286 247184 324429 370776 423744 432572 494368 648858 741552 757001 865144 988736 1297716 1483104 1514002 1730288 2271003 2595432 2966208 3028004 3460576 4542006 5190864 6056008 6921152 9084012 10381728 12112016 18168024 20763456 24224032 36336048 48448064 72672096 145344192