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342552100 = 225211893499
BaseRepresentation
bin10100011010101…
…110111000100100
3212212120110010211
4110122232320210
51200143131400
653554025204
711326434112
oct2432567044
9785513124
10342552100
111663a8510
1296878204
1355c79167
14336ccab2
1520116dba
hex146aee24

342552100 has 72 divisors (see below), whose sum is σ = 820260000. Its totient is φ = 123129600.

The previous prime is 342552073. The next prime is 342552103. The reversal of 342552100 is 1255243.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (342552103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96151 + ... + 99649.

It is an arithmetic number, because the mean of its divisors is an integer number (11392500).

Almost surely, 2342552100 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 342552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410130000).

342552100 is an abundant number, since it is smaller than the sum of its proper divisors (477707900).

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

342552100 is a wasteful number, since it uses less digits than its factorization.

342552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 342552100 is about 18508.1630639024. The cubic root of 342552100 is about 699.6951733999.

The spelling of 342552100 in words is "three hundred forty-two million, five hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 356 445 550 890 979 1100 1780 1958 2225 3499 3916 4450 4895 6998 8900 9790 13996 17495 19580 24475 34990 38489 48950 69980 76978 87475 97900 153956 174950 192445 311411 349900 384890 622822 769780 962225 1245644 1557055 1924450 3114110 3425521 3848900 6228220 6851042 7785275 13702084 15570550 17127605 31141100 34255210 68510420 85638025 171276050 342552100