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145384308 = 22342915473
BaseRepresentation
bin10001010101001…
…10001101110100
3101010120021210000
420222212031310
5244204244213
622232031300
73413513646
oct1052461564
9333507700
10145384308
117507a423
1240832530
1324174024
1415446896
15cb6bc73
hex8aa6374

145384308 has 60 divisors (see below), whose sum is σ = 393194340. Its totient is φ = 46787328.

The previous prime is 145384307. The next prime is 145384321. The reversal of 145384308 is 803483541.

It can be written as a sum of positive squares in 2 ways, for example, as 68856804 + 76527504 = 8298^2 + 8748^2 .

It is a super-2 number, since 2×1453843082 = 42273194025277728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145384307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1660 + ... + 17132.

It is an arithmetic number, because the mean of its divisors is an integer number (6553239).

Almost surely, 2145384308 is an apocalyptic number.

145384308 is a gapful number since it is divisible by the number (18) 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 145384308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196597170).

145384308 is an abundant number, since it is smaller than the sum of its proper divisors (247810032).

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

145384308 is a wasteful number, since it uses less digits than its factorization.

145384308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15518 (or 15507 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 145384308 is about 12057.5415404634. The cubic root of 145384308 is about 525.8225147790.

The spelling of 145384308 in words is "one hundred forty-five million, three hundred eighty-four thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 15473 30946 46419 61892 92838 139257 185676 278514 417771 448717 557028 835542 897434 1253313 1346151 1671084 1794868 2506626 2692302 4038453 5013252 5384604 8076906 12115359 16153812 24230718 36346077 48461436 72692154 145384308