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1341663200 = 25525331643
BaseRepresentation
bin100111111111000…
…0010011111100000
310110111120112220122
41033332002133200
510221431210300
6341044255412
745150643343
oct11776023740
93414515818
101341663200
11629374469
123153a1568
13184c64867
14ca28845a
157cbbec85
hex4ff827e0

1341663200 has 72 divisors (see below), whose sum is σ = 3337239528. Its totient is φ = 526522880.

The previous prime is 1341663173. The next prime is 1341663217. The reversal of 1341663200 is 23661431.

It is a self number, because there is not a number n which added to its sum of digits gives 1341663200.

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 11 ways as a sum of consecutive naturals, for example, 26579 + ... + 58221.

It is an arithmetic number, because the mean of its divisors is an integer number (46350549).

Almost surely, 21341663200 is an apocalyptic number.

1341663200 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 1341663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668619764).

1341663200 is an abundant number, since it is smaller than the sum of its proper divisors (1995576328).

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

1341663200 is a wasteful number, since it uses less digits than its factorization.

1341663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31716 (or 31703 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1341663200 is about 36628.7209713907. The cubic root of 1341663200 is about 1102.9297108197.

The spelling of 1341663200 in words is "one billion, three hundred forty-one million, six hundred sixty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 160 200 212 265 400 424 530 800 848 1060 1325 1696 2120 2650 4240 5300 8480 10600 21200 31643 42400 63286 126572 158215 253144 316430 506288 632860 791075 1012576 1265720 1582150 1677079 2531440 3164300 3354158 5062880 6328600 6708316 8385395 12657200 13416632 16770790 25314400 26833264 33541580 41926975 53666528 67083160 83853950 134166320 167707900 268332640 335415800 670831600 1341663200