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145434240 = 2732573607
BaseRepresentation
bin10001010101100…
…10011010000000
3101010122211021100
420222302122000
5244212343430
622233054400
73414112350
oct1052623200
9333584240
10145434240
1175103996
1240857400
1324190983
141545ab60
15cb7b960
hex8ab2680

145434240 has 192 divisors, whose sum is σ = 574104960. Its totient is φ = 33232896.

The previous prime is 145434239. The next prime is 145434241. The reversal of 145434240 is 42434541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145434239) and next prime (145434241).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1454342402 = 42302236328755200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145434241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38517 + ... + 42123.

It is an arithmetic number, because the mean of its divisors is an integer number (2990130).

Almost surely, 2145434240 is an apocalyptic number.

145434240 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 145434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287052480).

145434240 is an abundant number, since it is smaller than the sum of its proper divisors (428670720).

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

145434240 is a wasteful number, since it uses less digits than its factorization.

145434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 145434240 is about 12059.6119340549. The cubic root of 145434240 is about 525.8827055129.

Adding to 145434240 its reverse (42434541), we get a palindrome (187868781).

The spelling of 145434240 in words is "one hundred forty-five million, four hundred thirty-four thousand, two hundred forty".