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34123050 = 232521319307
BaseRepresentation
bin1000001000101…
…0110100101010
32101012122000200
42002022310222
532213414200
63215213030
7563020053
oct202126452
971178020
1034123050
1118297175
12b517176
1370b9870
14476372a
152ee0800
hex208ad2a

34123050 has 144 divisors (see below), whose sum is σ = 104264160. Its totient is φ = 7931520.

The previous prime is 34123013. The next prime is 34123051. The reversal of 34123050 is 5032143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34123051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110997 + ... + 111303.

Almost surely, 234123050 is an apocalyptic number.

34123050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34123050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52132080).

34123050 is an abundant number, since it is smaller than the sum of its proper divisors (70141110).

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

34123050 is a wasteful number, since it uses less digits than its factorization.

34123050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34123050 is about 5841.4938157975. The cubic root of 34123050 is about 324.3515274761.

Adding to 34123050 its reverse (5032143), we get a palindrome (39155193).

The spelling of 34123050 in words is "thirty-four million, one hundred twenty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 25 26 30 38 39 45 50 57 65 75 78 90 95 114 117 130 150 171 190 195 225 234 247 285 307 325 342 390 450 475 494 570 585 614 650 741 855 921 950 975 1170 1235 1425 1482 1535 1710 1842 1950 2223 2470 2763 2850 2925 3070 3705 3991 4275 4446 4605 5526 5833 5850 6175 7410 7675 7982 8550 9210 11115 11666 11973 12350 13815 15350 17499 18525 19955 22230 23025 23946 27630 29165 34998 35919 37050 39910 46050 52497 55575 58330 59865 69075 71838 75829 87495 99775 104994 111150 119730 138150 145825 151658 174990 179595 199550 227487 262485 291650 299325 359190 379145 437475 454974 524970 598650 682461 758290 874950 897975 1137435 1312425 1364922 1795950 1895725 2274870 2624850 3412305 3791450 5687175 6824610 11374350 17061525 34123050