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34125450 = 2352832741
BaseRepresentation
bin1000001000101…
…1011010001010
32101012202022120
42002023122022
532214003300
63215232110
7563030052
oct202133212
971182276
1034125450
1118298a57
12b518636
1370ba998
144764562
152ee13a0
hex208b68a

34125450 has 48 divisors (see below), whose sum is σ = 85682016. Its totient is φ = 8987200.

The previous prime is 34125449. The next prime is 34125457. The reversal of 34125450 is 5452143.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34125450.

It is not an unprimeable number, because it can be changed into a prime (34125457) 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, 11080 + ... + 13820.

It is an arithmetic number, because the mean of its divisors is an integer number (1785042).

Almost surely, 234125450 is an apocalyptic number.

34125450 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 34125450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42841008).

34125450 is an abundant number, since it is smaller than the sum of its proper divisors (51556566).

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

34125450 is a wasteful number, since it uses less digits than its factorization.

34125450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 34125450 is about 5841.6992390913. The cubic root of 34125450 is about 324.3591315777.

Adding to 34125450 its reverse (5452143), we get a palindrome (39577593).

The spelling of 34125450 in words is "thirty-four million, one hundred twenty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 166 249 415 498 830 1245 2075 2490 2741 4150 5482 6225 8223 12450 13705 16446 27410 41115 68525 82230 137050 205575 227503 411150 455006 682509 1137515 1365018 2275030 3412545 5687575 6825090 11375150 17062725 34125450