Search a number
-
+
145379340 = 22335269221
BaseRepresentation
bin10001010101001…
…01000000001100
3101010120000222000
420222211000030
5244204114330
622231552300
73413463321
oct1052450014
9333500860
10145379340
1175076717
124082b690
13241719a2
1415444b48
15cb6a560
hex8aa500c

145379340 has 48 divisors (see below), whose sum is σ = 452292960. Its totient is φ = 38767680.

The previous prime is 145379321. The next prime is 145379383. The reversal of 145379340 is 43973541.

It is a super-2 number, since 2×1453793402 = 42270304997671200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145379295 and 145379304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134071 + ... + 135150.

It is an arithmetic number, because the mean of its divisors is an integer number (9422770).

Almost surely, 2145379340 is an apocalyptic number.

145379340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145379340 is an abundant number, since it is smaller than the sum of its proper divisors (306913620).

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

145379340 is a wasteful number, since it uses less digits than its factorization.

145379340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269239 (or 269231 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 145379340 is about 12057.3355265581. The cubic root of 145379340 is about 525.8165253293.

The spelling of 145379340 in words is "one hundred forty-five million, three hundred seventy-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 269221 538442 807663 1076884 1346105 1615326 2422989 2692210 3230652 4038315 4845978 5384420 7268967 8076630 9691956 12114945 14537934 16153260 24229890 29075868 36344835 48459780 72689670 145379340