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342796194 = 2321317237137
BaseRepresentation
bin10100011011101…
…010011110100010
3212220000211222100
4110123222132202
51200223434234
654003151230
711331501546
oct2433523642
9786024870
10342796194
11166554944
1296975516
13560332b0
1433753a26
1520164399
hex146ea7a2

342796194 has 144 divisors (see below), whose sum is σ = 879009768. Its totient is φ = 95883264.

The previous prime is 342796189. The next prime is 342796199. The reversal of 342796194 is 491697243.

It is a happy number.

342796194 is a `hidden beast` number, since 3 + 4 + 27 + 9 + 619 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (342796189) and next prime (342796199).

It can be written as a sum of positive squares in 12 ways, for example, as 164172969 + 178623225 = 12813^2 + 13365^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (342796199) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2502094 + ... + 2502230.

Almost surely, 2342796194 is an apocalyptic number.

342796194 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342796194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439504884).

342796194 is an abundant number, since it is smaller than the sum of its proper divisors (536213574).

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

342796194 is a wasteful number, since it uses less digits than its factorization.

342796194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 342796194 is about 18514.7561150559. The cubic root of 342796194 is about 699.8613289935.

The spelling of 342796194 in words is "three hundred forty-two million, seven hundred ninety-six thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 37 39 51 74 78 102 111 117 137 153 221 222 234 274 289 306 333 411 442 481 578 629 663 666 822 867 962 1233 1258 1326 1443 1734 1781 1887 1989 2329 2466 2601 2886 3562 3757 3774 3978 4329 4658 5069 5202 5343 5661 6987 7514 8177 8658 10138 10686 10693 11271 11322 13974 15207 16029 16354 20961 21386 22542 24531 30277 30414 32058 32079 33813 39593 41922 45621 49062 60554 64158 65897 67626 73593 79186 86173 90831 91242 96237 118779 131794 139009 147186 172346 181662 192474 197691 237558 258519 272493 278018 356337 395382 417027 514709 517038 544986 593073 712674 775557 834054 1029418 1120249 1186146 1251081 1464941 1544127 1551114 2240498 2502162 2929882 3088254 3360747 4394823 4632381 6721494 8789646 9264762 10082241 13184469 19044233 20164482 26368938 38088466 57132699 114265398 171398097 342796194