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341135332352 = 2101740148869
BaseRepresentation
bin1001111011011010100…
…00000001010000000000
31012121112022022102102222
410331231100001100000
521042121121113402
6420414310030212
733434436324113
oct4755520012000
91177468272388
10341135332352
11121747002341
1256145648368
1326227182c59
141272240857a
158d18baa7a2
hex4f6d401400

341135332352 has 88 divisors (see below), whose sum is σ = 723866936040. Its totient is φ = 160130662400.

The previous prime is 341135332331. The next prime is 341135332357. The reversal of 341135332352 is 253233531143.

It can be written as a sum of positive squares in 4 ways, for example, as 154870583296 + 186264749056 = 393536^2 + 431584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341135332357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6956174 + ... + 7005042.

Almost surely, 2341135332352 is an apocalyptic number.

341135332352 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 341135332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361933468020).

341135332352 is an abundant number, since it is smaller than the sum of its proper divisors (382731603688).

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

341135332352 is a wasteful number, since it uses less digits than its factorization.

341135332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49307 (or 49289 counting only the distinct ones).

The product of its digits is 97200, while the sum is 35.

Adding to 341135332352 its reverse (253233531143), we get a palindrome (594368863495).

The spelling of 341135332352 in words is "three hundred forty-one billion, one hundred thirty-five million, three hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 401 512 544 802 1024 1088 1604 2176 3208 4352 6416 6817 8704 12832 13634 17408 25664 27268 48869 51328 54536 97738 102656 109072 195476 205312 218144 390952 410624 436288 781904 830773 872576 1563808 1661546 1745152 3127616 3323092 3490304 6255232 6646184 6980608 12510464 13292368 19596469 25020928 26584736 39192938 50041856 53169472 78385876 106338944 156771752 212677888 313543504 333139973 425355776 627087008 666279946 850711552 1254174016 1332559892 2508348032 2665119784 5016696064 5330239568 10033392128 10660479136 20066784256 21320958272 42641916544 85283833088 170567666176 341135332352