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353001114234 = 2334124390437
BaseRepresentation
bin1010010001100001000…
…00011000101001111010
31020202011020212121011000
411020300200120221322
521240421241123414
6430055542545430
734334460651306
oct5106040305172
91222136777130
10353001114234
11126785a2094a
12584b7438276
1327398583072
141312a288d06
1592b0767b09
hex5230818a7a

353001114234 has 96 divisors (see below), whose sum is σ = 822754278720. Its totient is φ = 112126170240.

The previous prime is 353001114223. The next prime is 353001114283. The reversal of 353001114234 is 432411100353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 353001114198 and 353001114207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3858064 + ... + 3948500.

It is an arithmetic number, because the mean of its divisors is an integer number (8570357070).

Almost surely, 2353001114234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353001114234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411377139360).

353001114234 is an abundant number, since it is smaller than the sum of its proper divisors (469753164486).

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

353001114234 is a wasteful number, since it uses less digits than its factorization.

353001114234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90573 (or 90526 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 353001114234 its reverse (432411100353), we get a palindrome (785412214587).

The spelling of 353001114234 in words is "three hundred fifty-three billion, one million, one hundred fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 43 54 82 86 123 129 246 258 369 387 738 774 1107 1161 1681 1763 2214 2322 3362 3526 5043 5289 10086 10578 15129 15867 30258 31734 45387 47601 72283 90437 90774 95202 144566 180874 216849 271311 433698 542622 650547 813933 1301094 1627866 1951641 2441799 3707917 3888791 3903282 4883598 7415834 7777582 11123751 11666373 22247502 23332746 33371253 34999119 66742506 69998238 100113759 104997357 152024597 159440431 200227518 209994714 304049194 318880862 456073791 478321293 912147582 956642586 1368221373 1434963879 2736442746 2869927758 4104664119 4304891637 6537057671 8209328238 8609783274 13074115342 19611173013 39222346026 58833519039 117667038078 176500557117 353001114234