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340345490496 = 26311290355511
BaseRepresentation
bin1001111001111100010…
…11000000110001000000
31012112111021002022002220
410330332023000301000
521034011421143441
6420204053011040
733406035636144
oct4747613006100
91175437068086
10340345490496
1112138117a480
1255b65023a80
132612c6488cb
1412689565224
158cbe68d466
hex4f3e2c0c40

340345490496 has 112 divisors (see below), whose sum is σ = 982716945408. Its totient is φ = 103097612800.

The previous prime is 340345490477. The next prime is 340345490497. The reversal of 340345490496 is 694094543043.

It is not an unprimeable number, because it can be changed into a prime (340345490497) 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, 6103381 + ... + 6158891.

Almost surely, 2340345490496 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 340345490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491358472704).

340345490496 is an abundant number, since it is smaller than the sum of its proper divisors (642371454912).

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

340345490496 is a wasteful number, since it uses less digits than its factorization.

340345490496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58440 (or 58430 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 340345490496 in words is "three hundred forty billion, three hundred forty-five million, four hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2903 5806 8709 11612 17418 23224 31933 34836 46448 55511 63866 69672 92896 95799 111022 127732 139344 166533 185792 191598 222044 255464 278688 333066 383196 444088 510928 557376 610621 666132 766392 888176 1021856 1221242 1332264 1532784 1776352 1831863 2043712 2442484 2664528 3065568 3552704 3663726 4884968 5329056 6131136 7327452 9769936 10658112 14654904 19539872 29309808 39079744 58619616 117239232 161148433 322296866 483445299 644593732 966890598 1289187464 1772632763 1933781196 2578374928 3545265526 3867562392 5156749856 5317898289 7090531052 7735124784 10313499712 10635796578 14181062104 15470249568 21271593156 28362124208 30940499136 42543186312 56724248416 85086372624 113448496832 170172745248 340345490496