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342111240 = 23325972101
BaseRepresentation
bin10100011001000…
…011010000001000
3212211202001101200
4110121003100020
51200040024430
653540344200
711322616602
oct2431032010
9784661350
10342111240
11166127269
12966a5060
1355b535b3
1433616172
152007b460
hex14643408

342111240 has 144 divisors (see below), whose sum is σ = 1134565380. Its totient is φ = 89395200.

The previous prime is 342111239. The next prime is 342111293. The reversal of 342111240 is 42111243.

342111240 is a `hidden beast` number, since 3 + 421 + 1 + 1 + 240 = 666.

342111240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 228432996 + 113678244 = 15114^2 + 10662^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3387190 + ... + 3387290.

Almost surely, 2342111240 is an apocalyptic number.

342111240 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 342111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567282690).

342111240 is an abundant number, since it is smaller than the sum of its proper divisors (792454140).

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

342111240 is a wasteful number, since it uses less digits than its factorization.

342111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 342111240 is about 18496.2493495303. The cubic root of 342111240 is about 699.3948784082.

Adding to 342111240 its reverse (42111243), we get a palindrome (384222483).

The spelling of 342111240 in words is "three hundred forty-two million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 101 120 180 194 202 291 303 360 388 404 485 505 582 606 776 808 873 909 970 1010 1164 1212 1455 1515 1746 1818 1940 2020 2328 2424 2910 3030 3492 3636 3880 4040 4365 4545 5820 6060 6984 7272 8730 9090 9409 9797 11640 12120 17460 18180 18818 19594 28227 29391 34920 36360 37636 39188 47045 48985 56454 58782 75272 78376 84681 88173 94090 97970 112908 117564 141135 146955 169362 176346 188180 195940 225816 235128 282270 293910 338724 352692 376360 391880 423405 440865 564540 587820 677448 705384 846810 881730 950309 1129080 1175640 1693620 1763460 1900618 2850927 3387240 3526920 3801236 4751545 5701854 7602472 8552781 9503090 11403708 14254635 17105562 19006180 22807416 28509270 34211124 38012360 42763905 57018540 68422248 85527810 114037080 171055620 342111240