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1344002688 = 27327166667
BaseRepresentation
bin101000000011011…
…1101101010000000
310110122222102002100
41100012331222000
510223031041223
6341210350400
745206556120
oct12006755200
93418872070
101344002688
1162a722126
1231612b400
131855a3682
14ca6d6c80
157ced3043
hex501bda80

1344002688 has 96 divisors (see below), whose sum is σ = 4420035360. Its totient is φ = 383998464.

The previous prime is 1344002683. The next prime is 1344002701. The reversal of 1344002688 is 8862004431.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1344002683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75270 + ... + 91397.

It is an arithmetic number, because the mean of its divisors is an integer number (46042035).

Almost surely, 21344002688 is an apocalyptic number.

1344002688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1344002688 is an abundant number, since it is smaller than the sum of its proper divisors (3076032672).

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

1344002688 is a wasteful number, since it uses less digits than its factorization.

1344002688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166694 (or 166679 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1344002688 is about 36660.6422202339. The cubic root of 1344002688 is about 1103.5704062651.

The spelling of 1344002688 in words is "one billion, three hundred forty-four million, two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 166667 333334 500001 666668 1000002 1166669 1333336 1500003 2000004 2333338 2666672 3000006 3500007 4000008 4666676 5333344 6000012 7000014 8000016 9333352 10500021 10666688 12000024 14000028 16000032 18666704 21000042 21333376 24000048 28000056 32000064 37333408 42000084 48000096 56000112 64000128 74666816 84000168 96000192 112000224 149333632 168000336 192000384 224000448 336000672 448000896 672001344 1344002688