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340391408 = 24717317379
BaseRepresentation
bin10100010010011…
…111010111110000
3212201111200020012
4110102133113300
51144120011113
653435434052
711302164530
oct2422372760
9781450205
10340391408
11165162115
1295bb5928
13556a0846
14332c94c0
151ed3baa8
hex1449f5f0

340391408 has 160 divisors (see below), whose sum is σ = 845660160. Its totient is φ = 129392640.

The previous prime is 340391393. The next prime is 340391411. The reversal of 340391408 is 804193043.

340391408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4308713 + ... + 4308791.

It is an arithmetic number, because the mean of its divisors is an integer number (5285376).

Almost surely, 2340391408 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 340391408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422830080).

340391408 is an abundant number, since it is smaller than the sum of its proper divisors (505268752).

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

340391408 is a wasteful number, since it uses less digits than its factorization.

340391408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 340391408 is about 18449.6994013453. The cubic root of 340391408 is about 698.2209298918.

The spelling of 340391408 in words is "three hundred forty million, three hundred ninety-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 73 79 112 119 124 136 146 158 217 238 248 272 292 316 434 476 496 511 527 553 584 632 868 952 1022 1054 1106 1168 1241 1264 1343 1736 1904 2044 2108 2212 2263 2449 2482 2686 3472 3689 4088 4216 4424 4526 4898 4964 5372 5767 7378 8176 8432 8687 8848 9052 9401 9796 9928 10744 11534 14756 15841 17143 17374 18104 18802 19592 19856 21488 23068 29512 31682 34286 34748 36208 37604 38471 39184 40369 41633 46136 59024 63364 68572 69496 75208 76942 80738 83266 92272 98039 126728 137144 138992 150416 153884 161476 166532 178777 196078 253456 269297 274288 291431 307768 322952 333064 357554 392156 538594 582862 615536 645904 666128 686273 715108 784312 1077188 1165724 1251439 1372546 1430216 1568624 2154376 2331448 2502878 2745092 2860432 3039209 4308752 4662896 5005756 5490184 6078418 10011512 10980368 12156836 20023024 21274463 24313672 42548926 48627344 85097852 170195704 340391408