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1344972420 = 2232511679279
BaseRepresentation
bin101000000101010…
…1010011010000100
310110201210200022100
41100022222122010
510223303104140
6341243232100
745221035251
oct12012523204
93421720270
101344972420
11630224760
12316518630
13185852b8c
14ca8aa428
157d125530
hex502aa684

1344972420 has 72 divisors (see below), whose sum is σ = 4450642560. Its totient is φ = 326053440.

The previous prime is 1344972413. The next prime is 1344972439. The reversal of 1344972420 is 242794431.

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

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 23 ways as a sum of consecutive naturals, for example, 337660 + ... + 341619.

It is an arithmetic number, because the mean of its divisors is an integer number (61814480).

Almost surely, 21344972420 is an apocalyptic number.

1344972420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344972420 is an abundant number, since it is smaller than the sum of its proper divisors (3105670140).

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

1344972420 is a wasteful number, since it uses less digits than its factorization.

1344972420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679305 (or 679300 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1344972420 is about 36673.8656266285. The cubic root of 1344972420 is about 1103.8357604606.

The spelling of 1344972420 in words is "one billion, three hundred forty-four million, nine hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 679279 1358558 2037837 2717116 3396395 4075674 6113511 6792790 7472069 8151348 10189185 12227022 13585580 14944138 20378370 22416207 24454044 29888276 30567555 37360345 40756740 44832414 61135110 67248621 74720690 89664828 112081035 122270220 134497242 149441380 224162070 268994484 336243105 448324140 672486210 1344972420