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145375340 = 225114171227
BaseRepresentation
bin10001010101001…
…00000001101100
3101010112211110212
420222210001230
5244204002330
622231521552
73413445545
oct1052440154
9333484425
10145375340
1175073710
12408292b8
132416cc16
14154434cc
15cb69295
hex8aa406c

145375340 has 96 divisors (see below), whose sum is σ = 347493888. Its totient is φ = 50624000.

The previous prime is 145375319. The next prime is 145375379. The reversal of 145375340 is 43573541.

It is a super-2 number, since 2×1453753402 = 42267978960231200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145375297 and 145375306.

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, 640307 + ... + 640533.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2145375340 is an apocalyptic number.

145375340 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 145375340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

145375340 is an abundant number, since it is smaller than the sum of its proper divisors (202118548).

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

145375340 is a wasteful number, since it uses less digits than its factorization.

145375340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 145375340 is about 12057.1696512905. The cubic root of 145375340 is about 525.8117028069.

The spelling of 145375340 in words is "one hundred forty-five million, three hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 71 82 110 142 164 205 220 227 284 355 410 451 454 710 781 820 902 908 1135 1420 1562 1804 2255 2270 2497 2911 3124 3905 4510 4540 4994 5822 7810 9020 9307 9988 11644 12485 14555 15620 16117 18614 24970 29110 32021 32234 37228 46535 49940 58220 64042 64468 80585 93070 102377 128084 160105 161170 177287 186140 204754 320210 322340 354574 409508 511885 640420 660797 709148 886435 1023770 1321594 1772870 2047540 2643188 3303985 3545740 6607970 7268767 13215940 14537534 29075068 36343835 72687670 145375340