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346681404 = 223341591327
BaseRepresentation
bin10100101010011…
…111000000111100
3220011100020111000
4110222133000330
51202222301104
654222330300
711406512646
oct2452370074
9804306430
10346681404
11168768963
1298129990
1356a93834
1434085896
1520680639
hex14a9f03c

346681404 has 96 divisors (see below), whose sum is σ = 937036800. Its totient is φ = 110747520.

The previous prime is 346681403. The next prime is 346681411. The reversal of 346681404 is 404186643.

It is a super-2 number, since 2×3466814042 = 240375991758822432, which contains 22 as substring.

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 (346681403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260589 + ... + 261915.

It is an arithmetic number, because the mean of its divisors is an integer number (9760800).

Almost surely, 2346681404 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 346681404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468518400).

346681404 is an abundant number, since it is smaller than the sum of its proper divisors (590355396).

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

346681404 is a wasteful number, since it uses less digits than its factorization.

346681404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1432 counting only the distinct ones).

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

The square root of 346681404 is about 18619.3824817044. The cubic root of 346681404 is about 702.4954497917.

The spelling of 346681404 in words is "three hundred forty-six million, six hundred eighty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 59 82 108 118 123 164 177 236 246 354 369 492 531 708 738 1062 1107 1327 1476 1593 2124 2214 2419 2654 3186 3981 4428 4838 5308 6372 7257 7962 9676 11943 14514 15924 21771 23886 29028 35829 43542 47772 54407 65313 71658 78293 87084 108814 130626 143316 156586 163221 217628 234879 261252 313172 326442 469758 489663 652884 704637 939516 979326 1409274 1468989 1958652 2113911 2818548 2937978 3210013 4227822 5875956 6420026 8455644 9630039 12840052 19260078 28890117 38520156 57780234 86670351 115560468 173340702 346681404