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145946340 = 22335270271
BaseRepresentation
bin10001011001011…
…11011011100100
3101011121211202000
420230233123210
5244330240330
622252045300
73421344351
oct1054573344
9334554660
10145946340
1175423711
1240a63830
132430caa7
1415551628
15cc2d560
hex8b2f6e4

145946340 has 48 divisors (see below), whose sum is σ = 454056960. Its totient is φ = 38918880.

The previous prime is 145946329. The next prime is 145946341. The reversal of 145946340 is 43649541.

145946340 is a `hidden beast` number, since 1 + 4 + 594 + 63 + 4 + 0 = 666.

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 = 145946295 and 145946304.

It is not an unprimeable number, because it can be changed into a prime (145946341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134596 + ... + 135675.

It is an arithmetic number, because the mean of its divisors is an integer number (9459520).

Almost surely, 2145946340 is an apocalyptic number.

145946340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145946340 is an abundant number, since it is smaller than the sum of its proper divisors (308110620).

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

145946340 is a wasteful number, since it uses less digits than its factorization.

145946340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270289 (or 270281 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 145946340 is about 12080.8253029336. The cubic root of 145946340 is about 526.4992248428.

The spelling of 145946340 in words is "one hundred forty-five million, nine hundred forty-six 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 270271 540542 810813 1081084 1351355 1621626 2432439 2702710 3243252 4054065 4864878 5405420 7297317 8108130 9729756 12162195 14594634 16216260 24324390 29189268 36486585 48648780 72973170 145946340