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340403777478 = 23337415417681
BaseRepresentation
bin1001111010000011010…
…01010110111111000110
31012112122022202120211000
410331001221112333012
521034121331334403
6420213534154130
733410344240062
oct4750151267706
91175568676730
10340403777478
11121401070336
1255b80652946
132613b745c4b
14126931b8aa2
158cc48537a3
hex4f41a56fc6

340403777478 has 128 divisors (see below), whose sum is σ = 797421098880. Its totient is φ = 107495424000.

The previous prime is 340403777477. The next prime is 340403777521. The reversal of 340403777478 is 874777304043.

It is a happy number.

340403777478 is a `hidden beast` number, since 34 + 0 + 40 + 37 + 77 + 478 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340403777477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44313798 + ... + 44321478.

It is an arithmetic number, because the mean of its divisors is an integer number (6229852335).

Almost surely, 2340403777478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340403777478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398710549440).

340403777478 is an abundant number, since it is smaller than the sum of its proper divisors (457017321402).

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

340403777478 is a wasteful number, since it uses less digits than its factorization.

340403777478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 340403777478 in words is "three hundred forty billion, four hundred three million, seven hundred seventy-seven thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 37 41 54 74 82 111 123 222 246 333 369 541 666 738 999 1082 1107 1517 1623 1998 2214 3034 3246 4551 4869 7681 9102 9738 13653 14607 15362 20017 22181 23043 27306 29214 40034 40959 44362 46086 60051 66543 69129 81918 120102 133086 138258 180153 199629 207387 284197 314921 360306 399258 414774 540459 568394 598887 629842 820697 852591 944763 1080918 1197774 1641394 1705182 1889526 2462091 2557773 2834289 4155421 4924182 5115546 5668578 7386273 7673319 8310842 8502867 11652077 12466263 14772546 15346638 17005734 22158819 23304154 24932526 34956231 37398789 44317638 69912462 74797578 104868693 112196367 153750577 170372261 209737386 224392734 307501154 314606079 340744522 461251731 511116783 629212158 922503462 1022233566 1383755193 1533350349 2767510386 3066700698 4151265579 4600051047 6303773657 8302531158 9200102094 12607547314 18911320971 37822641942 56733962913 113467925826 170201888739 340403777478