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340064119104 = 26317415325087
BaseRepresentation
bin1001111001011010110…
…01101010100101000000
31012111202122122011010020
410330231121222211000
521032422403302404
6420120122133440
733366051214323
oct4745531524500
91174678564106
10340064119104
11121247369a36
1255aa6951280
13260b6270c68
14126600407ba
158ca4b0ded9
hex4f2d66a940

340064119104 has 112 divisors (see below), whose sum is σ = 952947007488. Its totient is φ = 106656841728.

The previous prime is 340064119103. The next prime is 340064119147. The reversal of 340064119104 is 401911460043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340064119103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13542849 + ... + 13567935.

It is an arithmetic number, because the mean of its divisors is an integer number (8508455424).

Almost surely, 2340064119104 is an apocalyptic number.

340064119104 is a gapful number since it is divisible by the number (34) 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 340064119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476473503744).

340064119104 is an abundant number, since it is smaller than the sum of its proper divisors (612882888384).

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

340064119104 is a wasteful number, since it uses less digits than its factorization.

340064119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29272 (or 29262 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 340064119104 its reverse (401911460043), we get a palindrome (741975579147).

The spelling of 340064119104 in words is "three hundred forty billion, sixty-four million, one hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 4153 8306 12459 16612 24918 25087 33224 49836 50174 66448 70601 75261 99672 100348 132896 141202 150522 199344 200696 211803 265792 282404 301044 398688 401392 423606 426479 564808 602088 797376 802784 847212 852958 1129616 1204176 1279437 1605568 1694424 1705916 2259232 2408352 2558874 3388848 3411832 4518464 4816704 5117748 6777696 6823664 10235496 13555392 13647328 20470992 27294656 40941984 81883968 104186311 208372622 312558933 416745244 625117866 833490488 1250235732 1666980976 1771167287 2500471464 3333961952 3542334574 5000942928 5313501861 6667923904 7084669148 10001885856 10627003722 14169338296 20003771712 21254007444 28338676592 42508014888 56677353184 85016029776 113354706368 170032059552 340064119104