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342000456 = 233719307349
BaseRepresentation
bin10100011000101…
…000001101001000
3212211112102102120
4110120220031020
51200023003311
653534131240
711321645610
oct2430501510
9784472376
10342000456
11166061006
1296650b20
1355b15045
14335c7a40
1520058706
hex14628348

342000456 has 128 divisors (see below), whose sum is σ = 1034880000. Its totient is φ = 92005632.

The previous prime is 342000433. The next prime is 342000473. The reversal of 342000456 is 654000243.

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

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, 979770 + ... + 980118.

It is an arithmetic number, because the mean of its divisors is an integer number (8085000).

Almost surely, 2342000456 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 342000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517440000).

342000456 is an abundant number, since it is smaller than the sum of its proper divisors (692879544).

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

342000456 is a wasteful number, since it uses less digits than its factorization.

342000456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 342000456 is about 18493.2543377308. The cubic root of 342000456 is about 699.3193765264.

Adding to 342000456 its reverse (654000243), we get a palindrome (996000699).

The spelling of 342000456 in words is "three hundred forty-two million, four hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 307 349 399 456 532 614 698 798 921 1047 1064 1228 1396 1596 1842 2094 2149 2443 2456 2792 3192 3684 4188 4298 4886 5833 6447 6631 7329 7368 8376 8596 9772 11666 12894 13262 14658 17192 17499 19544 19893 23332 25788 26524 29316 34998 39786 40831 46417 46664 51576 53048 58632 69996 79572 81662 92834 107143 122493 139251 139992 159144 163324 185668 214286 244986 278502 321429 326648 371336 428572 489972 557004 642858 750001 857144 979944 1114008 1285716 1500002 2035717 2250003 2571432 3000004 4071434 4500006 6000008 6107151 8142868 9000012 12214302 14250019 16285736 18000024 24428604 28500038 42750057 48857208 57000076 85500114 114000152 171000228 342000456