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340949078992 = 241719891913881
BaseRepresentation
bin1001111011000100010…
…01100001001111010000
31012121001022211202212101
410331202021201033100
521041230431011432
6420344014010144
733430015232314
oct4754211411720
91177038752771
10340949078992
11121660959445
12560b31a6954
13261c76cc972
14127057a3b44
158d076694e7
hex4f622613d0

340949078992 has 160 divisors (see below), whose sum is σ = 748623513600. Its totient is φ = 149468774400.

The previous prime is 340949078971. The next prime is 340949078993. The reversal of 340949078992 is 299870949043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340949078993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87848892 + ... + 87852772.

It is an arithmetic number, because the mean of its divisors is an integer number (4678896960).

Almost surely, 2340949078992 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 340949078992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374311756800).

340949078992 is an abundant number, since it is smaller than the sum of its proper divisors (407674434608).

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

340949078992 is a wasteful number, since it uses less digits than its factorization.

340949078992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 340949078992 in words is "three hundred forty billion, nine hundred forty-nine million, seventy-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 89 136 152 178 191 272 304 323 356 382 646 712 764 1292 1424 1513 1528 1691 2584 3026 3056 3247 3382 3629 3881 5168 6052 6494 6764 7258 7762 12104 12988 13528 14516 15524 16999 24208 25976 27056 28747 29032 31048 33998 51952 57494 58064 61693 62096 65977 67996 73739 114988 123386 131954 135992 147478 229976 246772 263908 271984 288983 294956 322981 345409 459952 493544 527816 577966 589912 645962 690818 741271 987088 1055632 1155932 1179824 1253563 1291924 1381636 1482542 2311864 2507126 2583848 2763272 2965084 4623728 5014252 5167696 5490677 5526544 5871953 5930168 6562771 10028504 10981354 11743906 11860336 12601607 13125542 14084149 20057008 21962708 23487812 25203214 26251084 28168298 43925416 46975624 50406428 52502168 56336596 65973119 87850832 93951248 100812856 105004336 111567107 112673192 131946238 201625712 223134214 225346384 239430533 263892476 446268428 478861066 527784952 892536856 957722132 1055569904 1121543023 1253489261 1785073712 1915444264 2243086046 2506978522 3830888528 4486172092 5013957044 8972344184 10027914088 17944688368 20055828176 21309317437 42618634874 85237269748 170474539496 340949078992