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341199216 = 2435127691
BaseRepresentation
bin10100010101100…
…100100101110000
3212210000201100000
4110111210211300
51144321333331
653505030000
711312100621
oct2425444560
9783021300
10341199216
11165664026
1296325300
13558c4437
1433459a48
151ee4b0e6
hex14564970

341199216 has 120 divisors (see below), whose sum is σ = 999491584. Its totient is φ = 112674240.

The previous prime is 341199191. The next prime is 341199217. The reversal of 341199216 is 612991143.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341199217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493431 + ... + 494121.

Almost surely, 2341199216 is an apocalyptic number.

341199216 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 341199216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499745792).

341199216 is an abundant number, since it is smaller than the sum of its proper divisors (658292368).

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

341199216 is a wasteful number, since it uses less digits than its factorization.

341199216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 823 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 341199216 is about 18471.5786006502. The cubic root of 341199216 is about 698.7728267649.

The spelling of 341199216 in words is "three hundred forty-one million, one hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 243 254 324 381 432 486 508 648 691 762 972 1016 1143 1296 1382 1524 1944 2032 2073 2286 2764 3048 3429 3888 4146 4572 5528 6096 6219 6858 8292 9144 10287 11056 12438 13716 16584 18288 18657 20574 24876 27432 30861 33168 37314 41148 49752 54864 55971 61722 74628 82296 87757 99504 111942 123444 149256 164592 167913 175514 223884 246888 263271 298512 335826 351028 447768 493776 526542 671652 702056 789813 895536 1053084 1343304 1404112 1579626 2106168 2369439 2686608 3159252 4212336 4738878 6318504 7108317 9477756 12637008 14216634 18955512 21324951 28433268 37911024 42649902 56866536 85299804 113733072 170599608 341199216