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1343032080 = 2435134110499
BaseRepresentation
bin101000000001101…
…0000101100010000
310110121011002122220
41100003100230100
510222304011310
6341133501040
745165404265
oct12003205420
93417132586
101343032080
1162a119975
12315941780
13185323950
14ca52326c
157cd90670
hex500d0b10

1343032080 has 160 divisors (see below), whose sum is σ = 4593456000. Its totient is φ = 322498560.

The previous prime is 1343032001. The next prime is 1343032109. The reversal of 1343032080 is 802303431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1343032080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122671 + ... + 133169.

It is an arithmetic number, because the mean of its divisors is an integer number (28709100).

Almost surely, 21343032080 is an apocalyptic number.

1343032080 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 1343032080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296728000).

1343032080 is an abundant number, since it is smaller than the sum of its proper divisors (3250423920).

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

1343032080 is a wasteful number, since it uses less digits than its factorization.

1343032080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10569 (or 10563 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1343032080 is about 36647.4020907349. The cubic root of 1343032080 is about 1103.3046845202.

The spelling of 1343032080 in words is "one billion, three hundred forty-three million, thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 41 48 52 60 65 78 80 82 104 120 123 130 156 164 195 205 208 240 246 260 312 328 390 410 492 520 533 615 624 656 780 820 984 1040 1066 1230 1560 1599 1640 1968 2132 2460 2665 3120 3198 3280 4264 4920 5330 6396 7995 8528 9840 10499 10660 12792 15990 20998 21320 25584 31497 31980 41996 42640 52495 62994 63960 83992 104990 125988 127920 136487 157485 167984 209980 251976 272974 314970 409461 419960 430459 503952 545948 629940 682435 818922 839920 860918 1091896 1259880 1291377 1364870 1637844 1721836 2047305 2152295 2183792 2519760 2582754 2729740 3275688 3443672 4094610 4304590 5165508 5459480 5595967 6456885 6551376 6887344 8189220 8609180 10331016 10918960 11191934 12913770 16378440 16787901 17218360 20662032 22383868 25827540 27979835 32756880 33575802 34436720 44767736 51655080 55959670 67151604 83939505 89535472 103310160 111919340 134303208 167879010 223838680 268606416 335758020 447677360 671516040 1343032080