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1345454080 = 21752053
BaseRepresentation
bin101000000110010…
…0000000000000000
310110202201011000121
41100030200000000
510223414012310
6341301430024
745225112435
oct12014400000
93422634017
101345454080
11630523623
1231670b314
13185991199
14ca993b8c
157d1bd0da
hex50320000

1345454080 has 72 divisors (see below), whose sum is σ = 3230650332. Its totient is φ = 537919488.

The previous prime is 1345454063. The next prime is 1345454119. The reversal of 1345454080 is 804545431.

It can be written as a sum of positive squares in 2 ways, for example, as 1340145664 + 5308416 = 36608^2 + 2304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 654334 + ... + 656386.

Almost surely, 21345454080 is an apocalyptic number.

1345454080 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 1345454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615325166).

1345454080 is an abundant number, since it is smaller than the sum of its proper divisors (1885196252).

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

1345454080 is an frugal number, since it uses more digits than its factorization.

1345454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 1345454080 is about 36680.4318404241. The cubic root of 1345454080 is about 1103.9675128716.

The spelling of 1345454080 in words is "one billion, three hundred forty-five million, four hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2053 2560 4096 4106 5120 8192 8212 10240 10265 16384 16424 20480 20530 32768 32848 40960 41060 65536 65696 81920 82120 131072 131392 163840 164240 262784 327680 328480 525568 655360 656960 1051136 1313920 2102272 2627840 4204544 5255680 8409088 10511360 16818176 21022720 33636352 42045440 67272704 84090880 134545408 168181760 269090816 336363520 672727040 1345454080