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1341188864 = 2871113653
BaseRepresentation
bin100111111110000…
…1110101100000000
310110110200110020122
41033330032230000
510221321020424
6341030155412
745143626421
oct11774165400
93413613218
101341188864
11629080054
123151b2b68
13184b299a2
14ca1a3648
157cb2945e
hex4ff0eb00

1341188864 has 72 divisors (see below), whose sum is σ = 2743064352. Its totient is φ = 654295040.

The previous prime is 1341188861. The next prime is 1341188869. The reversal of 1341188864 is 4688811431.

It is a super-2 number, since 2×13411888642 = 3597575137835220992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1341188861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2053562 + ... + 2054214.

It is an arithmetic number, because the mean of its divisors is an integer number (38098116).

Almost surely, 21341188864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371532176).

1341188864 is an abundant number, since it is smaller than the sum of its proper divisors (1401875488).

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

1341188864 is an equidigital number, since it uses as much as digits as its factorization.

1341188864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 839 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 1341188864 is about 36622.2454800358. The cubic root of 1341188864 is about 1102.7997177056.

The spelling of 1341188864 in words is "one billion, three hundred forty-one million, one hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 71 113 128 142 226 256 284 452 568 653 904 1136 1306 1808 2272 2612 3616 4544 5224 7232 8023 9088 10448 14464 16046 18176 20896 28928 32092 41792 46363 64184 73789 83584 92726 128368 147578 167168 185452 256736 295156 370904 513472 590312 741808 1026944 1180624 1483616 2053888 2361248 2967232 4722496 5239019 5934464 9444992 10478038 11868928 18889984 20956076 41912152 83824304 167648608 335297216 670594432 1341188864