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341294364 = 223337223383
BaseRepresentation
bin10100010101111…
…011110100011100
3212210012112212000
4110111323310130
51144332404424
653511042300
711312645205
oct2425736434
9783175760
10341294364
11165719564
1296370390
1355928838
14334825ac
151ee693c9
hex1457bd1c

341294364 has 96 divisors (see below), whose sum is σ = 915210240. Its totient is φ = 109905984.

The previous prime is 341294357. The next prime is 341294381. The reversal of 341294364 is 463492143.

It is a happy number.

341294364 is a `hidden beast` number, since 3 + 4 + 1 + 294 + 364 = 666.

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

Its product of digits (62208) is a multiple of the sum of its prime divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890917 + ... + 891299.

It is an arithmetic number, because the mean of its divisors is an integer number (9533440).

Almost surely, 2341294364 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 341294364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457605120).

341294364 is an abundant number, since it is smaller than the sum of its proper divisors (573915876).

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

341294364 is a wasteful number, since it uses less digits than its factorization.

341294364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 341294364 is about 18474.1539454450. The cubic root of 341294364 is about 698.8377748016.

The spelling of 341294364 in words is "three hundred forty-one million, two hundred ninety-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 223 333 383 444 446 666 669 766 892 999 1149 1332 1338 1532 1998 2007 2298 2676 3447 3996 4014 4596 6021 6894 8028 8251 10341 12042 13788 14171 16502 20682 24084 24753 28342 33004 41364 42513 49506 56684 74259 85026 85409 99012 127539 148518 170052 170818 222777 255078 256227 297036 341636 382617 445554 510156 512454 765234 768681 891108 1024908 1530468 1537362 2306043 3074724 3160133 4612086 6320266 9224172 9480399 12640532 18960798 28441197 37921596 56882394 85323591 113764788 170647182 341294364