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34454000 = 2453723107
BaseRepresentation
bin1000001101101…
…1100111110000
32101211110000002
42003123213300
532310012000
63230245132
7565565660
oct203334760
971743002
1034454000
11184a2889
12b6567a8
1371a43a9
14480c1a0
1530588d5
hex20db9f0

34454000 has 160 divisors (see below), whose sum is σ = 100279296. Its totient is φ = 11193600.

The previous prime is 34453999. The next prime is 34454003. The reversal of 34454000 is 45443.

It is a happy number.

34454000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34454003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321947 + ... + 322053.

Almost surely, 234454000 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 34454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139648).

34454000 is an abundant number, since it is smaller than the sum of its proper divisors (65825296).

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

34454000 is a wasteful number, since it uses less digits than its factorization.

34454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 34454000 is about 5869.7529760630. The cubic root of 34454000 is about 325.3967541115.

Adding to 34454000 its reverse (45443), we get a palindrome (34499443).

The spelling of 34454000 in words is "thirty-four million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 107 112 115 125 140 161 175 184 200 214 230 250 280 322 350 368 400 428 460 500 535 560 575 644 700 749 805 856 875 920 1000 1070 1150 1288 1400 1498 1610 1712 1750 1840 2000 2140 2300 2461 2576 2675 2800 2875 2996 3220 3500 3745 4025 4280 4600 4922 5350 5750 5992 6440 7000 7490 8050 8560 9200 9844 10700 11500 11984 12305 12880 13375 14000 14980 16100 17227 18725 19688 20125 21400 23000 24610 26750 29960 32200 34454 37450 39376 40250 42800 46000 49220 53500 59920 61525 64400 68908 74900 80500 86135 93625 98440 107000 123050 137816 149800 161000 172270 187250 196880 214000 246100 275632 299600 307625 322000 344540 374500 430675 492200 615250 689080 749000 861350 984400 1230500 1378160 1498000 1722700 2153375 2461000 3445400 4306750 4922000 6890800 8613500 17227000 34454000