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342000576 = 2633474211
BaseRepresentation
bin10100011000101…
…000001111000000
3212211112102121000
4110120220033000
51200023004301
653534132000
711321646141
oct2430501700
9784472530
10342000576
11166061105
1296651000
1355b15108
14335c7ac8
1520058786
hex146283c0

342000576 has 112 divisors (see below), whose sum is σ = 1027054080. Its totient is φ = 111548160.

The previous prime is 342000541. The next prime is 342000599. The reversal of 342000576 is 675000243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79111 + ... + 83321.

Almost surely, 2342000576 is an apocalyptic number.

342000576 is a gapful number since it is divisible by the number (36) 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 342000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513527040).

342000576 is an abundant number, since it is smaller than the sum of its proper divisors (685053504).

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

342000576 is a wasteful number, since it uses less digits than its factorization.

342000576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 342000576 is about 18493.2575821568. The cubic root of 342000576 is about 699.3194583180.

The spelling of 342000576 in words is "three hundred forty-two million, five hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 141 144 188 192 216 282 288 376 423 432 564 576 752 846 864 1128 1269 1504 1692 1728 2256 2538 3008 3384 4211 4512 5076 6768 8422 9024 10152 12633 13536 16844 20304 25266 27072 33688 37899 40608 50532 67376 75798 81216 101064 113697 134752 151596 197917 202128 227394 269504 303192 395834 404256 454788 593751 606384 791668 808512 909576 1187502 1212768 1583336 1781253 1819152 2375004 2425536 3166672 3562506 3638304 4750008 5343759 6333344 7125012 7276608 9500016 10687518 12666688 14250024 19000032 21375036 28500048 38000064 42750072 57000096 85500144 114000192 171000288 342000576