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351347134336 = 27111949128033
BaseRepresentation
bin1010001110011011110…
…10111100111110000000
31020120212222121201021021
411013031322330332000
521224024331244321
6425223500235224
734245465236422
oct5071572747600
91216788551237
10351347134336
11126007330310
125811553bb14
13271939ca533
1413010742812
159215454941
hex51cdebcf80

351347134336 has 64 divisors (see below), whose sum is σ = 763978878000. Its totient is φ = 159620055040.

The previous prime is 351347134309. The next prime is 351347134367. The reversal of 351347134336 is 633431743153.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3513471343362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 351347134292 and 351347134301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2680176 + ... + 2808208.

Almost surely, 2351347134336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351347134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381989439000).

351347134336 is an abundant number, since it is smaller than the sum of its proper divisors (412631743664).

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

351347134336 is a wasteful number, since it uses less digits than its factorization.

351347134336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130007 (or 129995 counting only the distinct ones).

The product of its digits is 816480, while the sum is 43.

Adding to 351347134336 its reverse (633431743153), we get a palindrome (984778877489).

The spelling of 351347134336 in words is "three hundred fifty-one billion, three hundred forty-seven million, one hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1949 3898 7796 15592 21439 31184 42878 62368 85756 124736 128033 171512 249472 256066 343024 512132 686048 1024264 1372096 1408363 2048528 2744192 2816726 4097056 5633452 8194112 11266904 16388224 22533808 45067616 90135232 180270464 249536317 499072634 998145268 1996290536 2744899487 3992581072 5489798974 7985162144 10979597948 15970324288 21959195896 31940648576 43918391792 87836783584 175673567168 351347134336