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145345240 = 235172111013
BaseRepresentation
bin10001010100111…
…00101011011000
3101010111022012001
420222130223120
5244202021430
622231130344
73413262025
oct1052345330
9333438161
10145345240
1175053037
12408139b4
132415c301
141543654c
15cb603ca
hex8a9cad8

145345240 has 64 divisors (see below), whose sum is σ = 348248160. Its totient is φ = 54405120.

The previous prime is 145345217. The next prime is 145345243. The reversal of 145345240 is 42543541.

It is a super-2 number, since 2×1453452402 = 42250477581315200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145345199 and 145345208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145345243) 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 15 ways as a sum of consecutive naturals, for example, 142974 + ... + 143986.

Almost surely, 2145345240 is an apocalyptic number.

145345240 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 145345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174124080).

145345240 is an abundant number, since it is smaller than the sum of its proper divisors (202902920).

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

145345240 is a wasteful number, since it uses less digits than its factorization.

145345240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 145345240 is about 12055.9213666978. The cubic root of 145345240 is about 525.7754104877.

Adding to 145345240 its reverse (42543541), we get a palindrome (187888781).

The spelling of 145345240 in words is "one hundred forty-five million, three hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 211 340 422 680 844 1013 1055 1688 2026 2110 3587 4052 4220 5065 7174 8104 8440 10130 14348 17221 17935 20260 28696 34442 35870 40520 68884 71740 86105 137768 143480 172210 213743 344420 427486 688840 854972 1068715 1709944 2137430 3633631 4274860 7267262 8549720 14534524 18168155 29069048 36336310 72672620 145345240