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145356264 = 23322018837
BaseRepresentation
bin10001010100111…
…11010111101000
3101010111212022100
420222133113220
5244202400024
622231253400
73413336124
oct1052372750
9333455270
10145356264
1175060349
124081a260
1324164331
141543a584
15cb637c9
hex8a9f5e8

145356264 has 24 divisors (see below), whose sum is σ = 393673410. Its totient is φ = 48452064.

The previous prime is 145356259. The next prime is 145356269. The reversal of 145356264 is 462653541.

145356264 is a `hidden beast` number, since 1 + 4 + 535 + 62 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (145356259) and next prime (145356269).

It can be written as a sum of positive squares in only one way, i.e., 111133764 + 34222500 = 10542^2 + 5850^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1453562642 = 42256886968075392, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (145356269) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1009347 + ... + 1009490.

Almost surely, 2145356264 is an apocalyptic number.

It is an amenable number.

145356264 is an abundant number, since it is smaller than the sum of its proper divisors (248317146).

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

145356264 is a wasteful number, since it uses less digits than its factorization.

145356264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018849 (or 2018842 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 145356264 is about 12056.3785607453. The cubic root of 145356264 is about 525.7887029803.

It can be divided in two parts, 145 and 356264, that added together give a square (356409 = 5972).

The spelling of 145356264 in words is "one hundred forty-five million, three hundred fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2018837 4037674 6056511 8075348 12113022 16150696 18169533 24226044 36339066 48452088 72678132 145356264