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342460104 = 233717196311
BaseRepresentation
bin10100011010011…
…000011011001000
3212212101202221120
4110122120123020
51200132210404
653552035240
711325601650
oct2432303310
9785352846
10342460104
11166345388
1296832b20
1355c4631c
14336a7360
15200e99d9
hex146986c8

342460104 has 128 divisors (see below), whose sum is σ = 1090713600. Its totient is φ = 87229440.

The previous prime is 342460091. The next prime is 342460109. The reversal of 342460104 is 401064243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (342460109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51109 + ... + 57419.

It is an arithmetic number, because the mean of its divisors is an integer number (8521200).

Almost surely, 2342460104 is an apocalyptic number.

342460104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342460104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545356800).

342460104 is an abundant number, since it is smaller than the sum of its proper divisors (748253496).

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

342460104 is a wasteful number, since it uses less digits than its factorization.

342460104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 342460104 is about 18505.6776152618. The cubic root of 342460104 is about 699.6325309383.

The spelling of 342460104 in words is "three hundred forty-two million, four hundred sixty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1596 1938 2261 2584 2856 3192 3876 4522 6311 6783 7752 9044 12622 13566 18088 18933 25244 27132 37866 44177 50488 54264 75732 88354 107287 119909 132531 151464 176708 214574 239818 265062 321861 353416 359727 429148 479636 530124 643722 719454 751009 839363 858296 959272 1060248 1287444 1438908 1502018 1678726 2038453 2253027 2518089 2574888 2877816 3004036 3357452 4076906 4506054 5036178 6008072 6115359 6714904 8153812 9012108 10072356 12230718 14269171 16307624 18024216 20144712 24461436 28538342 42807513 48922872 57076684 85615026 114153368 171230052 342460104