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340378245396 = 223272613163249
BaseRepresentation
bin1001111010000000001…
…11111101100100010100
31012112120112201102101100
410331000013331210110
521034043312323041
6420211223030100
733406614230400
oct4750007754424
91175515642340
10340378245396
11121398711742
1255b73b9b330
13261363767c7
141268da50100
158cc24ad6b6
hex4f401fd914

340378245396 has 108 divisors (see below), whose sum is σ = 1017282220500. Its totient is φ = 95656619520.

The previous prime is 340378245323. The next prime is 340378245397. The reversal of 340378245396 is 693542873043.

340378245396 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 7 + 8 + 245 + 396 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23397985296 + 316980260100 = 152964^2 + 563010^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340378245397) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1474021 + ... + 1689228.

Almost surely, 2340378245396 is an apocalyptic number.

340378245396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

340378245396 is an abundant number, since it is smaller than the sum of its proper divisors (676903975104).

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

340378245396 is a wasteful number, since it uses less digits than its factorization.

340378245396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163334 (or 3163322 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 340378245396 in words is "three hundred forty billion, three hundred seventy-eight million, two hundred forty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 61 63 84 98 122 126 147 183 196 244 252 294 366 427 441 549 588 732 854 882 1098 1281 1708 1764 2196 2562 2989 3843 5124 5978 7686 8967 11956 15372 17934 26901 35868 53802 107604 3163249 6326498 9489747 12652996 18979494 22142743 28469241 37958988 44285486 56938482 66428229 88570972 113876964 132856458 154999201 192958189 199284687 265712916 309998402 385916378 398569374 464997603 578874567 619996804 771832756 797138748 929995206 1157749134 1350707323 1394992809 1736623701 1859990412 2315498268 2701414646 2789985618 3473247402 4052121969 5402829292 5579971236 6946494804 8104243938 9454951261 12156365907 16208487876 18909902522 24312731814 28364853783 37819805044 48625463628 56729707566 85094561349 113459415132 170189122698 340378245396