Search a number
-
+
342512640 = 2103257433
BaseRepresentation
bin10100011010100…
…101010000000000
3212212111110000100
4110122211100000
51200140401030
653553122400
711326211061
oct2432452000
9785443010
10342512640
111663808a8
1296859400
1355c64202
14336bc568
152010a360
hex146a5400

342512640 has 132 divisors (see below), whose sum is σ = 1186957044. Its totient is φ = 91324416.

The previous prime is 342512627. The next prime is 342512669. The reversal of 342512640 is 46215243.

342512640 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 12 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63489024 + 279023616 = 7968^2 + 16704^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42364 + ... + 49796.

Almost surely, 2342512640 is an apocalyptic number.

342512640 is a gapful number since it is divisible by the number (30) 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 342512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593478522).

342512640 is an abundant number, since it is smaller than the sum of its proper divisors (844444404).

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

342512640 is a wasteful number, since it uses less digits than its factorization.

342512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 342512640 is about 18507.0970170905. The cubic root of 342512640 is about 699.6683054366.

Adding to 342512640 its reverse (46215243), we get a palindrome (388727883).

The spelling of 342512640 in words is "three hundred forty-two million, five hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7433 7680 9216 11520 14866 15360 22299 23040 29732 37165 44598 46080 59464 66897 74330 89196 111495 118928 133794 148660 178392 222990 237856 267588 297320 334485 356784 445980 475712 535176 594640 668970 713568 891960 951424 1070352 1189280 1337940 1427136 1783920 1902848 2140704 2378560 2675880 2854272 3567840 3805696 4281408 4757120 5351760 5708544 7135680 7611392 8562816 9514240 10703520 11417088 14271360 17125632 19028480 21407040 22834176 28542720 34251264 38056960 42814080 57085440 68502528 85628160 114170880 171256320 342512640