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1341344352 = 253531132333
BaseRepresentation
bin100111111110011…
…0100101001100000
310110110222100112110
41033330310221200
510221341004402
6341033355320
745145144635
oct11774645140
93413870473
101341344352
11629176957
12315268b40
13184b826aa
14ca20418c
157cb5a56c
hex4ff34a60

1341344352 has 96 divisors (see below), whose sum is σ = 3620762208. Its totient is φ = 434610176.

The previous prime is 1341344341. The next prime is 1341344359. The reversal of 1341344352 is 2534431431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341344359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573778 + ... + 576110.

It is an arithmetic number, because the mean of its divisors is an integer number (37716273).

Almost surely, 21341344352 is an apocalyptic number.

1341344352 is a gapful number since it is divisible by the number (12) 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 1341344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810381104).

1341344352 is an abundant number, since it is smaller than the sum of its proper divisors (2279417856).

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

1341344352 is a wasteful number, since it uses less digits than its factorization.

1341344352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2504 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 1341344352 is about 36624.3682812414. The cubic root of 1341344352 is about 1102.8423330053.

Adding to 1341344352 its reverse (2534431431), we get a palindrome (3875775783).

The spelling of 1341344352 in words is "one billion, three hundred forty-one million, three hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 113 159 212 226 318 339 424 452 636 678 848 904 1272 1356 1696 1808 2333 2544 2712 3616 4666 5088 5424 5989 6999 9332 10848 11978 13998 17967 18664 23956 27996 35934 37328 47912 55992 71868 74656 95824 111984 123649 143736 191648 223968 247298 263629 287472 370947 494596 527258 574944 741894 790887 989192 1054516 1483788 1581774 1978384 2109032 2967576 3163548 3956768 4218064 5935152 6327096 8436128 11870304 12654192 13972337 25308384 27944674 41917011 55889348 83834022 111778696 167668044 223557392 335336088 447114784 670672176 1341344352