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34450000 = 24551353
BaseRepresentation
bin1000001101101…
…0101001010000
32101211020111221
42003122221100
532304400000
63230214424
7565551214
oct203325120
971736457
1034450000
111849a882
12b654414
1371a2620
14480a944
15305761a
hex20daa50

34450000 has 120 divisors (see below), whose sum is σ = 91541016. Its totient is φ = 12480000.

The previous prime is 34449979. The next prime is 34450019. The reversal of 34450000 is 5443.

It can be written as a sum of positive squares in 12 ways, for example, as 34386496 + 63504 = 5864^2 + 252^2 .

It is a sliding number, since 34450000 = 3200000 + 31250000 and 1/3200000 + 1/31250000 = 0.00000034450000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649974 + ... + 650026.

Almost surely, 234450000 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 34450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45770508).

34450000 is an abundant number, since it is smaller than the sum of its proper divisors (57091016).

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

34450000 is an equidigital number, since it uses as much as digits as its factorization.

34450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 34450000 is about 5869.4122363317. The cubic root of 34450000 is about 325.3841611141.

Adding to 34450000 its reverse (5443), we get a palindrome (34455443).

The spelling of 34450000 in words is "thirty-four million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 53 65 80 100 104 106 125 130 200 208 212 250 260 265 325 400 424 500 520 530 625 650 689 848 1000 1040 1060 1250 1300 1325 1378 1625 2000 2120 2500 2600 2650 2756 3125 3250 3445 4240 5000 5200 5300 5512 6250 6500 6625 6890 8125 10000 10600 11024 12500 13000 13250 13780 16250 17225 21200 25000 26000 26500 27560 32500 33125 34450 40625 50000 53000 55120 65000 66250 68900 81250 86125 106000 130000 132500 137800 162500 165625 172250 265000 275600 325000 331250 344500 430625 530000 650000 662500 689000 861250 1325000 1378000 1722500 2153125 2650000 3445000 4306250 6890000 8612500 17225000 34450000