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342301204032 = 26310135949169
BaseRepresentation
bin1001111101100101011…
…11011101111001000000
31012201112120002211201120
410332302233131321000
521102013102012112
6421130114432240
733505354140654
oct4766257357100
91181476084646
10342301204032
11122195118a57
125640bb92680
1326381888358
14127d31b2a64
158d86203e8c
hex4fb2bdde40

342301204032 has 112 divisors (see below), whose sum is σ = 917205379200. Its totient is φ = 112653721600.

The previous prime is 342301204009. The next prime is 342301204051. The reversal of 342301204032 is 230402103243.

It is a super-2 number, since 2×3423012040322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 342301203993 and 342301204011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6937144 + ... + 6986312.

Almost surely, 2342301204032 is an apocalyptic number.

342301204032 is a gapful number since it is divisible by the number (32) 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 342301204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458602689600).

342301204032 is an abundant number, since it is smaller than the sum of its proper divisors (574904175168).

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

342301204032 is a wasteful number, since it uses less digits than its factorization.

342301204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49644 (or 49634 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 342301204032 its reverse (230402103243), we get a palindrome (572703307275).

The spelling of 342301204032 in words is "three hundred forty-two billion, three hundred one million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 359 404 606 718 808 1077 1212 1436 1616 2154 2424 2872 3232 4308 4848 5744 6464 8616 9696 11488 17232 19392 22976 34464 36259 49169 68928 72518 98338 108777 145036 147507 196676 217554 290072 295014 393352 435108 580144 590028 786704 870216 1160288 1180056 1573408 1740432 2320576 2360112 3146816 3480864 4720224 4966069 6961728 9440448 9932138 14898207 17651671 19864276 29796414 35303342 39728552 52955013 59592828 70606684 79457104 105910026 119185656 141213368 158914208 211820052 238371312 282426736 317828416 423640104 476742624 564853472 847280208 953485248 1129706944 1694560416 1782818771 3389120832 3565637542 5348456313 7131275084 10696912626 14262550168 21393825252 28525100336 42787650504 57050200672 85575301008 114100401344 171150602016 342301204032