Search a number
-
+
340381778904 = 23343183204151
BaseRepresentation
bin1001111010000000101…
…01011100001111011000
31012112120210100221110000
410331000111130033120
521034100213411104
6420211430453000
733406656245226
oct4750025341730
91175523327400
10340381778904
1112139a7054a2
1255b75204160
1326137012c3b
14126902cdb16
158cc295a639
hex4f4055c3d8

340381778904 has 160 divisors (see below), whose sum is σ = 996000445440. Its totient is φ = 108477144000.

The previous prime is 340381778899. The next prime is 340381778983. The reversal of 340381778904 is 409877183043.

340381778904 is a `hidden beast` number, since 3 + 403 + 81 + 7 + 78 + 90 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1565229 + ... + 1769379.

It is an arithmetic number, because the mean of its divisors is an integer number (6225002784).

Almost surely, 2340381778904 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 340381778904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498000222720).

340381778904 is an abundant number, since it is smaller than the sum of its proper divisors (655618666536).

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

340381778904 is a wasteful number, since it uses less digits than its factorization.

340381778904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204283 (or 204270 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 340381778904 in words is "three hundred forty billion, three hundred eighty-one million, seven hundred seventy-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 83 93 108 124 162 166 186 216 248 249 279 324 332 372 498 558 648 664 744 747 837 996 1116 1494 1674 1992 2232 2241 2511 2573 2988 3348 4482 5022 5146 5976 6696 6723 7719 8964 10044 10292 13446 15438 17928 20088 20584 23157 26892 30876 46314 53784 61752 69471 92628 138942 185256 204151 208413 277884 408302 416826 555768 612453 816604 833652 1224906 1633208 1667304 1837359 2449812 3674718 4899624 5512077 6328681 7349436 11024154 12657362 14698872 16536231 16944533 18986043 22048308 25314724 33072462 33889066 37972086 44096616 50629448 50833599 56958129 66144924 67778132 75944172 101667198 113916258 132289848 135556264 151888344 152500797 170874387 203334396 227832516 305001594 341748774 406668792 455665032 457502391 512623161 525280523 610003188 683497548 915004782 1025246322 1050561046 1220006376 1366995096 1372507173 1575841569 1830009564 2050492644 2101122092 2745014346 3151683138 3660019128 4100985288 4202244184 4727524707 5490028692 6303366276 9455049414 10980057384 12606732552 14182574121 18910098828 28365148242 37820197656 42547722363 56730296484 85095444726 113460592968 170190889452 340381778904