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1324143040 = 265111133329
BaseRepresentation
bin100111011101100…
…1101000111000000
310102021121102202211
41032323031013000
510202440034130
6335220551504
744546013223
oct11673150700
93367542684
101324143040
1161a4982a0
1230b552594
1318143c0bc
14c7c075ba
157b3ada2a
hex4eecd1c0

1324143040 has 112 divisors (see below), whose sum is σ = 3471245280. Its totient is φ = 477102080.

The previous prime is 1324143031. The next prime is 1324143047. The reversal of 1324143040 is 403414231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324143047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396096 + ... + 399424.

Almost surely, 21324143040 is an apocalyptic number.

1324143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735622640).

1324143040 is an abundant number, since it is smaller than the sum of its proper divisors (2147102240).

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

1324143040 is a wasteful number, since it uses less digits than its factorization.

1324143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1324143040 is about 36388.7762915985. The cubic root of 1324143040 is about 1098.1077771628.

Adding to 1324143040 its reverse (403414231), we get a palindrome (1727557271).

The spelling of 1324143040 in words is "one billion, three hundred twenty-four million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 113 160 176 220 226 320 352 440 452 565 704 880 904 1130 1243 1760 1808 2260 2486 3329 3520 3616 4520 4972 6215 6658 7232 9040 9944 12430 13316 16645 18080 19888 24860 26632 33290 36160 36619 39776 49720 53264 66580 73238 79552 99440 106528 133160 146476 183095 198880 213056 266320 292952 366190 376177 397760 532640 585904 732380 752354 1065280 1171808 1464760 1504708 1880885 2343616 2929520 3009416 3761770 4137947 5859040 6018832 7523540 8275894 11718080 12037664 15047080 16551788 20689735 24075328 30094160 33103576 41379470 60188320 66207152 82758940 120376640 132414304 165517880 264828608 331035760 662071520 1324143040