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340152033504 = 25323743207341
BaseRepresentation
bin1001111001100101010…
…01000010000011100000
31012111222210001200000010
410330302221002003200
521033112410033004
6420132542324520
733401166402453
oct4746251020340
91174883050003
10340152033504
11121291a56368
1255b10289740
13260cb54280a
141266b9a749a
158cac6c7a89
hex4f32a420e0

340152033504 has 96 divisors (see below), whose sum is σ = 932979285504. Its totient is φ = 108307781120.

The previous prime is 340152033491. The next prime is 340152033547. The reversal of 340152033504 is 405330251043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 1536874 + ... + 1744214.

It is an arithmetic number, because the mean of its divisors is an integer number (9718534224).

Almost surely, 2340152033504 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 340152033504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466489642752).

340152033504 is an abundant number, since it is smaller than the sum of its proper divisors (592827252000).

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

340152033504 is a wasteful number, since it uses less digits than its factorization.

340152033504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208120 (or 208112 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 340152033504 its reverse (405330251043), we get a palindrome (745482284547).

The spelling of 340152033504 in words is "three hundred forty billion, one hundred fifty-two million, thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 743 1104 1486 2208 2229 2972 4458 5944 8916 11888 17089 17832 23776 34178 35664 51267 68356 71328 102534 136712 205068 207341 273424 410136 414682 546848 622023 820272 829364 1244046 1640544 1658728 2488092 3317456 4768843 4976184 6634912 9537686 9952368 14306529 19075372 19904736 28613058 38150744 57226116 76301488 114452232 152602976 154054363 228904464 308108726 457808928 462163089 616217452 924326178 1232434904 1848652356 2464869808 3543250349 3697304712 4929739616 7086500698 7394609424 10629751047 14173001396 14789218848 21259502094 28346002792 42519004188 56692005584 85038008376 113384011168 170076016752 340152033504