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1344291440 = 24531542053
BaseRepresentation
bin101000000100000…
…0100001001110000
310110200112002011212
41100020010021300
510223114311230
6341220455252
745212201012
oct12010041160
93420462155
101344291440
1162a8aa068
1231624a528
13185674c2b
14ca7701b2
157d03d895
hex50204270

1344291440 has 40 divisors (see below), whose sum is σ = 3226305408. Its totient is φ = 520369920.

The previous prime is 1344291391. The next prime is 1344291449. The reversal of 1344291440 is 441924431.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1344291397 and 1344291406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344291449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268547 + ... + 273506.

Almost surely, 21344291440 is an apocalyptic number.

1344291440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344291440 is an abundant number, since it is smaller than the sum of its proper divisors (1882013968).

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

1344291440 is a wasteful number, since it uses less digits than its factorization.

1344291440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542097 (or 542091 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1344291440 is about 36664.5801830595. The cubic root of 1344291440 is about 1103.6494327300.

The spelling of 1344291440 in words is "one billion, three hundred forty-four million, two hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 542053 1084106 2168212 2710265 4336424 5420530 8672848 10841060 16803643 21682120 33607286 43364240 67214572 84018215 134429144 168036430 268858288 336072860 672145720 1344291440