Search a number
-
+
346621240 = 23574726339
BaseRepresentation
bin10100101010010…
…000010100111000
3220011020011221201
4110222100110320
51202213334430
654221143544
711406142360
oct2452202470
9804204851
10346621240
11168727739
12980babb4
1356a72334
143406b9a0
152066c8ca
hex14a90538

346621240 has 64 divisors (see below), whose sum is σ = 910310400. Its totient is φ = 116308608.

The previous prime is 346621229. The next prime is 346621259. The reversal of 346621240 is 42126643.

346621240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 346621199 and 346621208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10 + ... + 26329.

It is an arithmetic number, because the mean of its divisors is an integer number (14223600).

Almost surely, 2346621240 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 346621240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455155200).

346621240 is an abundant number, since it is smaller than the sum of its proper divisors (563689160).

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

346621240 is a wasteful number, since it uses less digits than its factorization.

346621240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26404 (or 26400 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 346621240 is about 18617.7667833712. The cubic root of 346621240 is about 702.4548098065.

Adding to 346621240 its reverse (42126643), we get a palindrome (388747883).

The spelling of 346621240 in words is "three hundred forty-six million, six hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 26339 52678 105356 131695 184373 210712 263390 368746 526780 737492 921865 1053560 1237933 1474984 1843730 2475866 3687460 4951732 6189665 7374920 8665531 9903464 12379330 17331062 24758660 34662124 43327655 49517320 69324248 86655310 173310620 346621240