Search a number
-
+
1355452416 = 2123283443
BaseRepresentation
bin101000011001010…
…1001000000000000
310111110112010011100
41100302221000000
510233443434131
6342300014400
745406104213
oct12062510000
93443463140
101355452416
1163613250a
12319b31400
13187a82066
14cc03777a
157dee57e6
hex50ca9000

1355452416 has 156 divisors (see below), whose sum is σ = 3971389968. Its totient is φ = 445366272.

The previous prime is 1355452379. The next prime is 1355452433. The reversal of 1355452416 is 6142545531.

1355452416 is a `hidden beast` number, since 13 + 554 + 52 + 41 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3059491 + ... + 3059933.

It is an arithmetic number, because the mean of its divisors is an integer number (25457628).

Almost surely, 21355452416 is an apocalyptic number.

1355452416 is a gapful number since it is divisible by the number (16) 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 1355452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985694984).

1355452416 is an abundant number, since it is smaller than the sum of its proper divisors (2615937552).

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

1355452416 is an equidigital number, since it uses as much as digits as its factorization.

1355452416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 531 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 1355452416 is about 36816.4693581555. The cubic root of 1355452416 is about 1106.6953673949.

Adding to 1355452416 its reverse (6142545531), we get a palindrome (7497997947).

The spelling of 1355452416 in words is "one billion, three hundred fifty-five million, four hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 443 498 512 576 664 747 768 886 996 1024 1152 1328 1329 1494 1536 1772 1992 2048 2304 2656 2658 2988 3072 3544 3984 3987 4096 4608 5312 5316 5976 6144 7088 7968 7974 9216 10624 10632 11952 12288 14176 15936 15948 18432 21248 21264 23904 28352 31872 31896 36769 36864 42496 42528 47808 56704 63744 63792 73538 84992 85056 95616 110307 113408 127488 127584 147076 169984 170112 191232 220614 226816 254976 255168 294152 330921 339968 340224 382464 441228 453632 509952 510336 588304 661842 680448 764928 882456 907264 1019904 1020672 1176608 1323684 1360896 1529856 1764912 1814528 2041344 2353216 2647368 2721792 3059712 3529824 4082688 4706432 5294736 5443584 7059648 8165376 9412864 10589472 14119296 16330752 18825728 21178944 28238592 37651456 42357888 56477184 75302912 84715776 112954368 150605824 169431552 225908736 338863104 451817472 677726208 1355452416