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335121216 = 26329139433
BaseRepresentation
bin10011111110011…
…000101101000000
3212100120220212220
4103332120231000
51141242334331
653130451040
711206324533
oct2376305500
9770526786
10335121216
11162192591
1294293a80
1354576aa1
1432716a1a
151e64a296
hex13f98b40

335121216 has 112 divisors (see below), whose sum is σ = 925982400. Its totient is φ = 106831872.

The previous prime is 335121211. The next prime is 335121217. The reversal of 335121216 is 612121533.

It is a super-2 number, since 2×3351212162 = 224612458826637312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335121211) 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, 773736 + ... + 774168.

It is an arithmetic number, because the mean of its divisors is an integer number (8267700).

Almost surely, 2335121216 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 335121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462991200).

335121216 is an abundant number, since it is smaller than the sum of its proper divisors (590861184).

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

335121216 is a wasteful number, since it uses less digits than its factorization.

335121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 335121216 is about 18306.3162870087. The cubic root of 335121216 is about 694.5987131893.

Adding to 335121216 its reverse (612121533), we get a palindrome (947242749).

The spelling of 335121216 in words is "three hundred thirty-five million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 139 174 192 232 278 348 417 433 464 556 696 834 866 928 1112 1299 1392 1668 1732 1856 2224 2598 2784 3336 3464 4031 4448 5196 5568 6672 6928 8062 8896 10392 12093 12557 13344 13856 16124 20784 24186 25114 26688 27712 32248 37671 41568 48372 50228 60187 64496 75342 83136 96744 100456 120374 128992 150684 180561 193488 200912 240748 257984 301368 361122 386976 401824 481496 602736 722244 773952 803648 962992 1205472 1444488 1745423 1925984 2410944 2888976 3490846 3851968 5236269 5777952 6981692 10472538 11555904 13963384 20945076 27926768 41890152 55853536 83780304 111707072 167560608 335121216