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1341988000 = 25531132969
BaseRepresentation
bin100111111111101…
…0001110010100000
310110112012001110021
41033333101302200
510222022104000
6341055243224
745153465313
oct11777216240
93415161407
101341988000
116295764a1
12315519514
13185049652
14ca33097a
157cc3611a
hex4ffd1ca0

1341988000 has 96 divisors (see below), whose sum is σ = 3327564240. Its totient is φ = 531865600.

The previous prime is 1341987991. The next prime is 1341988003. The reversal of 1341988000 is 8891431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 308494096 + 1033493904 = 17564^2 + 32148^2 .

It is not an unprimeable number, because it can be changed into a prime (1341988003) by changing a digit.

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, 450516 + ... + 453484.

Almost surely, 21341988000 is an apocalyptic number.

1341988000 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 1341988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663782120).

1341988000 is an abundant number, since it is smaller than the sum of its proper divisors (1985576240).

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

1341988000 is a wasteful number, since it uses less digits than its factorization.

1341988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1341988000 is about 36633.1543823351. The cubic root of 1341988000 is about 1103.0187055009.

The spelling of 1341988000 in words is "one billion, three hundred forty-one million, nine hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 200 226 250 400 452 500 565 800 904 1000 1130 1808 2000 2260 2825 2969 3616 4000 4520 5650 5938 9040 11300 11876 14125 14845 18080 22600 23752 28250 29690 45200 47504 56500 59380 74225 90400 95008 113000 118760 148450 226000 237520 296900 335497 371125 452000 475040 593800 670994 742250 1187600 1341988 1484500 1677485 2375200 2683976 2969000 3354970 5367952 5938000 6709940 8387425 10735904 11876000 13419880 16774850 26839760 33549700 41937125 53679520 67099400 83874250 134198800 167748500 268397600 335497000 670994000 1341988000