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34204842 = 2347231139
BaseRepresentation
bin1000001001111…
…0110010101010
32101100210020000
42002132302222
532224023332
63221043430
7563510400
oct202366252
971323200
1034204842
1118342671
12b556576
137117b69
144785470
153009b7c
hex209ecaa

34204842 has 120 divisors (see below), whose sum is σ = 92695680. Its totient is φ = 9389520.

The previous prime is 34204829. The next prime is 34204843. The reversal of 34204842 is 24840243.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (34204843) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 246009 + ... + 246147.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 234204842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34204842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46347840).

34204842 is an abundant number, since it is smaller than the sum of its proper divisors (58490838).

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

34204842 is a wasteful number, since it uses less digits than its factorization.

34204842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34204842 is about 5848.4905744987. The cubic root of 34204842 is about 324.6104745476.

The spelling of 34204842 in words is "thirty-four million, two hundred four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 81 93 98 126 139 147 162 186 189 217 278 279 294 378 417 434 441 558 567 651 834 837 882 973 1134 1251 1302 1323 1519 1674 1946 1953 2502 2511 2646 2919 3038 3753 3906 3969 4309 4557 5022 5838 5859 6811 7506 7938 8618 8757 9114 11259 11718 12927 13622 13671 17514 17577 20433 22518 25854 26271 27342 30163 35154 38781 40866 41013 52542 60326 61299 77562 78813 82026 90489 116343 122598 123039 157626 180978 183897 211141 232686 246078 271467 349029 367794 422282 542934 551691 633423 698058 814401 1103382 1266846 1628802 1900269 2443203 3800538 4886406 5700807 11401614 17102421 34204842