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1345263552 = 263586501
BaseRepresentation
bin101000000101111…
…0001011111000000
310110202100110200000
41100023301133000
510223341413202
6341253400000
745223360113
oct12013613700
93422313600
101345263552
11630403466
12316639000
13185925549
14ca94457a
157d18191c
hex502f17c0

1345263552 has 84 divisors (see below), whose sum is σ = 3998814456. Its totient is φ = 448416000.

The previous prime is 1345263539. The next prime is 1345263611. The reversal of 1345263552 is 2553625431.

1345263552 is a `hidden beast` number, since 1 + 3 + 45 + 2 + 63 + 552 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27699 + ... + 58802.

It is an arithmetic number, because the mean of its divisors is an integer number (47604934).

Almost surely, 21345263552 is an apocalyptic number.

1345263552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1345263552 is an abundant number, since it is smaller than the sum of its proper divisors (2653550904).

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

1345263552 is an frugal number, since it uses more digits than its factorization.

1345263552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86528 (or 86506 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 1345263552 is about 36677.8346143826. The cubic root of 1345263552 is about 1103.9153999444.

Adding to 1345263552 its reverse (2553625431), we get a palindrome (3898888983).

The spelling of 1345263552 in words is "one billion, three hundred forty-five million, two hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 86501 173002 259503 346004 519006 692008 778509 1038012 1384016 1557018 2076024 2335527 2768032 3114036 4152048 4671054 5536064 6228072 7006581 8304096 9342108 12456144 14013162 16608192 18684216 21019743 24912288 28026324 37368432 42039486 49824576 56052648 74736864 84078972 112105296 149473728 168157944 224210592 336315888 448421184 672631776 1345263552