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145304280 = 2337511151
BaseRepresentation
bin10001010100100…
…10101011011000
3101010102020000000
420222102223120
5244144214110
622230213000
73413031432
oct1052225330
9333366000
10145304280
1175025290
12407b4160
1324146784
1415425652
15cb531c0
hex8a92ad8

145304280 has 256 divisors, whose sum is σ = 538444800. Its totient is φ = 34992000.

The previous prime is 145304273. The next prime is 145304293. The reversal of 145304280 is 82403541.

145304280 is a `hidden beast` number, since 14 + 530 + 42 + 80 = 666.

It is a super-2 number, since 2×1453042802 = 42226667572636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962205 + ... + 962355.

It is an arithmetic number, because the mean of its divisors is an integer number (2103300).

Almost surely, 2145304280 is an apocalyptic number.

145304280 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 145304280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269222400).

145304280 is an abundant number, since it is smaller than the sum of its proper divisors (393140520).

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

145304280 is a wasteful number, since it uses less digits than its factorization.

145304280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145304280 is about 12054.2224967021. Note that the first 3 decimals coincide. The cubic root of 145304280 is about 525.7260159470.

The spelling of 145304280 in words is "one hundred forty-five million, three hundred four thousand, two hundred eighty".