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1349732880 = 243251874629
BaseRepresentation
bin101000001110011…
…0100101000010000
310111001202112102200
41100130310220100
510231012423010
6341533243200
745306353166
oct12034645020
93431675380
101349732880
11632986321
12318033500
1318682b912
14cb389236
157d765cc0
hex50734a10

1349732880 has 60 divisors (see below), whose sum is σ = 4532855340. Its totient is φ = 359928576.

The previous prime is 1349732873. The next prime is 1349732941. The reversal of 1349732880 is 882379431.

It can be written as a sum of positive squares in 2 ways, for example, as 185831424 + 1163901456 = 13632^2 + 34116^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 936595 + ... + 938034.

It is an arithmetic number, because the mean of its divisors is an integer number (75547589).

Almost surely, 21349732880 is an apocalyptic number.

1349732880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349732880 is an abundant number, since it is smaller than the sum of its proper divisors (3183122460).

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

1349732880 is a wasteful number, since it uses less digits than its factorization.

1349732880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874648 (or 1874639 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1349732880 is about 36738.7109191381. The cubic root of 1349732880 is about 1105.1365500805.

The spelling of 1349732880 in words is "one billion, three hundred forty-nine million, seven hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1874629 3749258 5623887 7498516 9373145 11247774 14997032 16871661 18746290 22495548 28119435 29994064 33743322 37492580 44991096 56238870 67486644 74985160 84358305 89982192 112477740 134973288 149970320 168716610 224955480 269946576 337433220 449910960 674866440 1349732880