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343241388 = 2235761827
BaseRepresentation
bin10100011101010…
…111001010101100
3212220212110200000
4110131113022230
51200332211023
654020504300
711335334520
oct2435271254
9786773600
10343241388
11166829376
1296b4b090
135615ab19
143382bd80
1520201243
hex147572ac

343241388 has 144 divisors (see below), whose sum is σ = 1046433024. Its totient is φ = 96344640.

The previous prime is 343241383. The next prime is 343241411. The reversal of 343241388 is 883142343.

It is a happy number.

343241388 is a `hidden beast` number, since 34 + 3 + 241 + 388 = 666.

It is a super-3 number, since 3×3432413883 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343241383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414631 + ... + 415457.

It is an arithmetic number, because the mean of its divisors is an integer number (7266896).

Almost surely, 2343241388 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 343241388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523216512).

343241388 is an abundant number, since it is smaller than the sum of its proper divisors (703191636).

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

343241388 is a wasteful number, since it uses less digits than its factorization.

343241388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 900 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 343241388 is about 18526.7748947301. The cubic root of 343241388 is about 700.1641710178.

The spelling of 343241388 in words is "three hundred forty-three million, two hundred forty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 243 244 252 324 366 378 427 486 549 567 732 756 827 854 972 1098 1134 1281 1647 1654 1701 1708 2196 2268 2481 2562 3294 3308 3402 3843 4941 4962 5124 5789 6588 6804 7443 7686 9882 9924 11529 11578 14823 14886 15372 17367 19764 22329 23058 23156 29646 29772 34587 34734 44658 46116 50447 52101 59292 66987 69174 69468 89316 100894 103761 104202 133974 138348 151341 156303 200961 201788 207522 208404 267948 302682 312606 353129 401922 415044 454023 468909 605364 625212 706258 803844 908046 937818 1059387 1362069 1406727 1412516 1816092 1875636 2118774 2724138 2813454 3178161 4086207 4237548 5448276 5626908 6356322 8172414 9534483 12258621 12712644 16344828 19068966 24517242 28603449 38137932 49034484 57206898 85810347 114413796 171620694 343241388