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332344116 = 223213977321
BaseRepresentation
bin10011110011110…
…010101100110100
3212011100211102100
4103303302230310
51140040002431
652551142100
711143610166
oct2363625464
9764324370
10332344116
11160666065
1293374930
1353b13a30
14321d2936
151e29c4e6
hex13cf2b34

332344116 has 72 divisors (see below), whose sum is σ = 914166344. Its totient is φ = 101191680.

The previous prime is 332344093. The next prime is 332344121. The reversal of 332344116 is 611443233.

It can be written as a sum of positive squares in 4 ways, for example, as 14791716 + 317552400 = 3846^2 + 17820^2 .

It is a super-2 number, since 2×3323441162 = 220905222879642912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 332344116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41736 + ... + 49056.

Almost surely, 2332344116 is an apocalyptic number.

332344116 is a gapful number since it is divisible by the number (36) 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 332344116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457083172).

332344116 is an abundant number, since it is smaller than the sum of its proper divisors (581822228).

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

332344116 is a wasteful number, since it uses less digits than its factorization.

332344116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441 (or 7436 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 332344116 is about 18230.3076221988. The cubic root of 332344116 is about 692.6747097496.

Adding to 332344116 its reverse (611443233), we get a palindrome (943787349).

The spelling of 332344116 in words is "three hundred thirty-two million, three hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 156 194 234 291 388 468 582 873 1164 1261 1746 2522 3492 3783 5044 7321 7566 11349 14642 15132 21963 22698 29284 43926 45396 65889 87852 95173 131778 190346 263556 285519 380692 571038 710137 856557 1142076 1420274 1713114 2130411 2840548 3426228 4260822 6391233 8521644 9231781 12782466 18463562 25564932 27695343 36927124 55390686 83086029 110781372 166172058 332344116