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1341611264 = 2874011867
BaseRepresentation
bin100111111110111…
…0101110100000000
310110111110220200002
41033331311310000
510221423030024
6341043215132
745150336050
oct11775656400
93414426602
101341611264
11629339444
123153774a8
13184c47026
14ca273560
157cbae6ae
hex4ff75d00

1341611264 has 72 divisors (see below), whose sum is σ = 3069826368. Its totient is φ = 573235200.

The previous prime is 1341611251. The next prime is 1341611267. The reversal of 1341611264 is 4621161431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341611267) 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 7 ways as a sum of consecutive naturals, for example, 717659 + ... + 719525.

Almost surely, 21341611264 is an apocalyptic number.

1341611264 is a gapful number since it is divisible by the number (14) 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 1341611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534913184).

1341611264 is an abundant number, since it is smaller than the sum of its proper divisors (1728215104).

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

1341611264 is an equidigital number, since it uses as much as digits as its factorization.

1341611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2277 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 1341611264 is about 36628.0120126659. The cubic root of 1341611264 is about 1102.9154791068.

Adding to 1341611264 its reverse (4621161431), we get a palindrome (5962772695).

The spelling of 1341611264 in words is "one billion, three hundred forty-one million, six hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 401 448 802 896 1604 1792 1867 2807 3208 3734 5614 6416 7468 11228 12832 13069 14936 22456 25664 26138 29872 44912 51328 52276 59744 89824 102656 104552 119488 179648 209104 238976 359296 418208 477952 718592 748667 836416 1497334 1672832 2994668 3345664 5240669 5989336 10481338 11978672 20962676 23957344 41925352 47914688 83850704 95829376 167701408 191658752 335402816 670805632 1341611264