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1343241648 = 2432711171193
BaseRepresentation
bin101000000010000…
…0011110110110000
310110121112202010200
41100010003312300
510222332213043
6341142155200
745200236260
oct12004036660
93417482120
101343241648
1162a252371
12315a22b00
13185398158
14ca5797a0
157cdd27d3
hex50103db0

1343241648 has 120 divisors (see below), whose sum is σ = 4303691808. Its totient is φ = 383118336.

The previous prime is 1343241617. The next prime is 1343241703. The reversal of 1343241648 is 8461423431.

1343241648 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 2 + 4 + 1 + 648 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125340 + ... + 1126532.

Almost surely, 21343241648 is an apocalyptic number.

1343241648 is a gapful number since it is divisible by the number (18) 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 1343241648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151845904).

1343241648 is an abundant number, since it is smaller than the sum of its proper divisors (2960450160).

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

1343241648 is a wasteful number, since it uses less digits than its factorization.

1343241648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2322 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 1343241648 is about 36650.2612268999. The cubic root of 1343241648 is about 1103.3620684389.

The spelling of 1343241648 in words is "one billion, three hundred forty-three million, two hundred forty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1117 1193 2234 2386 3351 3579 4468 4772 6702 7158 7819 8351 8936 9544 10053 10737 13404 14316 15638 16702 17872 19088 20106 21474 23457 25053 26808 28632 31276 33404 40212 42948 46914 50106 53616 57264 62552 66808 70371 75159 80424 85896 93828 100212 125104 133616 140742 150318 160848 171792 187656 200424 281484 300636 375312 400848 562968 601272 1125936 1202544 1332581 2665162 3997743 5330324 7995486 9328067 10660648 11993229 15990972 18656134 21321296 23986458 27984201 31981944 37312268 47972916 55968402 63963888 74624536 83952603 95945832 111936804 149249072 167905206 191891664 223873608 335810412 447747216 671620824 1343241648