Search a number
-
+
145343880 = 2332511172127
BaseRepresentation
bin10001010100111…
…00010110001000
3101010111020022200
420222130112020
5244202001010
622231120200
73413255043
oct1052342610
9333436280
10145343880
1175052010
1240813060
132415b7c6
1415435c5a
15cb5ecc0
hex8a9c588

145343880 has 288 divisors, whose sum is σ = 551715840. Its totient is φ = 32901120.

The previous prime is 145343879. The next prime is 145343899. The reversal of 145343880 is 88343541.

145343880 is a `hidden beast` number, since 14 + 534 + 38 + 80 = 666.

It is a super-2 number, since 2×1453438802 = 42249686906908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1144377 + ... + 1144503.

It is an arithmetic number, because the mean of its divisors is an integer number (1915680).

Almost surely, 2145343880 is an apocalyptic number.

145343880 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 145343880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275857920).

145343880 is an abundant number, since it is smaller than the sum of its proper divisors (406371960).

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

145343880 is a wasteful number, since it uses less digits than its factorization.

145343880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 145343880 is about 12055.8649627474. The cubic root of 145343880 is about 525.7737705836.

The spelling of 145343880 in words is "one hundred forty-five million, three hundred forty-three thousand, eight hundred eighty".