Search a number
-
+
1344026640 = 243511509101
BaseRepresentation
bin101000000011100…
…0011100000010000
310110200000121221110
41100013003200100
510223032323030
6341211053320
745210016005
oct12007034020
93420017843
101344026640
1162a739120
12316141240
131855b1548
14ca7018ac
157ceda1b0
hex501c3810

1344026640 has 80 divisors (see below), whose sum is σ = 4545262656. Its totient is φ = 325824000.

The previous prime is 1344026639. The next prime is 1344026657. The reversal of 1344026640 is 466204431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1344026598 and 1344026607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251911 + ... + 257190.

Almost surely, 21344026640 is an apocalyptic number.

1344026640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344026640 is an abundant number, since it is smaller than the sum of its proper divisors (3201236016).

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

1344026640 is a wasteful number, since it uses less digits than its factorization.

1344026640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509128 (or 509122 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1344026640 is about 36660.9688906335. The cubic root of 1344026640 is about 1103.5769619467.

The spelling of 1344026640 in words is "one billion, three hundred forty-four million, twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 509101 1018202 1527303 2036404 2545505 3054606 4072808 5091010 5600111 6109212 7636515 8145616 10182020 11200222 12218424 15273030 16800333 20364040 22400444 24436848 28000555 30546060 33600666 40728080 44800888 56001110 61092120 67201332 84001665 89601776 112002220 122184240 134402664 168003330 224004440 268805328 336006660 448008880 672013320 1344026640