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1341320960 = 2857197879
BaseRepresentation
bin100111111110010…
…1110111100000000
310110110221011110002
41033330232330000
510221334232320
6341033055132
745145016510
oct11774567400
93413834402
101341320960
11629160321
123152574a8
13184b74b55
14ca1d9840
157cb53675
hex4ff2ef00

1341320960 has 144 divisors (see below), whose sum is σ = 3865612800. Its totient is φ = 435621888.

The previous prime is 1341320957. The next prime is 1341320971. The reversal of 1341320960 is 690231431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166301 + ... + 174179.

Almost surely, 21341320960 is an apocalyptic number.

1341320960 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 1341320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932806400).

1341320960 is an abundant number, since it is smaller than the sum of its proper divisors (2524291840).

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

1341320960 is an equidigital number, since it uses as much as digits as its factorization.

1341320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1341320960 is about 36624.0489296309. The cubic root of 1341320960 is about 1102.8359220645.

The spelling of 1341320960 in words is "one billion, three hundred forty-one million, three hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1280 1330 1520 1792 2128 2240 2432 2660 3040 4256 4480 4864 5320 6080 7879 8512 8960 10640 12160 15758 17024 21280 24320 31516 34048 39395 42560 55153 63032 78790 85120 110306 126064 149701 157580 170240 220612 252128 275765 299402 315160 441224 504256 551530 598804 630320 748505 882448 1008512 1047907 1103060 1197608 1260640 1497010 1764896 2017024 2095814 2206120 2395216 2521280 2994020 3529792 4191628 4412240 4790432 5042560 5239535 5988040 7059584 8383256 8824480 9580864 10085120 10479070 11976080 14119168 16766512 17648960 19161728 20958140 23952160 33533024 35297920 38323456 41916280 47904320 67066048 70595840 83832560 95808640 134132096 167665120 191617280 268264192 335330240 670660480 1341320960