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145288338 = 231341181251
BaseRepresentation
bin10001010100011…
…10110010010010
3101010101102010120
420222032302102
5244143211323
622230011110
73412634106
oct1052166222
9333342116
10145288338
1175014308
12407a6a96
132413c440
141541d906
15cb4d5e3
hex8a8ec92

145288338 has 64 divisors (see below), whose sum is σ = 323616384. Its totient is φ = 43200000.

The previous prime is 145288337. The next prime is 145288411. The reversal of 145288338 is 833882541.

It is a super-2 number, since 2×1452883382 = 42217402317604488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145288338.

It is not an unprimeable number, because it can be changed into a prime (145288331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578713 + ... + 578963.

It is an arithmetic number, because the mean of its divisors is an integer number (5056506).

Almost surely, 2145288338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145288338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161808192).

145288338 is an abundant number, since it is smaller than the sum of its proper divisors (178328046).

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

145288338 is a wasteful number, since it uses less digits than its factorization.

145288338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491.

The product of its digits is 184320, while the sum is 42.

The square root of 145288338 is about 12053.5612165036. The cubic root of 145288338 is about 525.7067886384.

The spelling of 145288338 in words is "one hundred forty-five million, two hundred eighty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 181 246 251 362 502 533 543 753 1066 1086 1506 1599 2353 3198 3263 4706 6526 7059 7421 9789 10291 14118 14842 19578 20582 22263 30873 44526 45431 61746 90862 96473 133783 136293 192946 267566 272586 289419 401349 578838 590603 802698 1181206 1771809 1862671 3543618 3725342 5588013 11176026 24214723 48429446 72644169 145288338