Search a number
-
+
1345161216 = 2113731277
BaseRepresentation
bin101000000101101…
…1000100000000000
310110202011021021210
41100023120200000
510223330124331
6341251250120
745222452550
oct12013304000
93422137253
101345161216
11630343593
123165a9940
131858baaa9
14ca919160
157d161446
hex502d8800

1345161216 has 96 divisors (see below), whose sum is σ = 4098669120. Its totient is φ = 384319488.

The previous prime is 1345161179. The next prime is 1345161263. The reversal of 1345161216 is 6121615431.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27370 + ... + 58646.

It is an arithmetic number, because the mean of its divisors is an integer number (42694470).

Almost surely, 21345161216 is an apocalyptic number.

1345161216 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 1345161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049334560).

1345161216 is an abundant number, since it is smaller than the sum of its proper divisors (2753507904).

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

1345161216 is an equidigital number, since it uses as much as digits as its factorization.

1345161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31309 (or 31289 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 1345161216 is about 36676.4395218511. The cubic root of 1345161216 is about 1103.8874071270.

Adding to 1345161216 its reverse (6121615431), we get a palindrome (7466776647).

The spelling of 1345161216 in words is "one billion, three hundred forty-five million, one hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 31277 43008 62554 93831 125108 187662 218939 250216 375324 437878 500432 656817 750648 875756 1000864 1313634 1501296 1751512 2001728 2627268 3002592 3503024 4003456 5254536 6005184 7006048 8006912 10509072 12010368 14012096 16013824 21018144 24020736 28024192 32027648 42036288 48041472 56048384 64055296 84072576 96082944 112096768 168145152 192165888 224193536 336290304 448387072 672580608 1345161216