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1354245000 = 23354137659
BaseRepresentation
bin101000010111000…
…0010001110001000
310111101020202220020
41100232002032020
510233141320000
6342214100440
745362615103
oct12056021610
93441222806
101354245000
11635488349
1231964a720
1318774b604
14cbc0173a
157dd57ba0
hex50b82388

1354245000 has 160 divisors (see below), whose sum is σ = 4268008800. Its totient is φ = 357952000.

The previous prime is 1354244989. The next prime is 1354245017. The reversal of 1354245000 is 5424531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2054671 + ... + 2055329.

It is an arithmetic number, because the mean of its divisors is an integer number (26675055).

Almost surely, 21354245000 is an apocalyptic number.

1354245000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134004400).

1354245000 is an abundant number, since it is smaller than the sum of its proper divisors (2913763800).

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

1354245000 is a wasteful number, since it uses less digits than its factorization.

1354245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 806 counting only the distinct ones).

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

The square root of 1354245000 is about 36800.0679347199. The cubic root of 1354245000 is about 1106.3666607475.

Adding to 1354245000 its reverse (5424531), we get a palindrome (1359669531).

The spelling of 1354245000 in words is "one billion, three hundred fifty-four million, two hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 137 150 200 250 274 300 375 411 500 548 600 625 659 685 750 822 1000 1096 1250 1318 1370 1500 1644 1875 1977 2055 2500 2636 2740 3000 3288 3295 3425 3750 3954 4110 5000 5272 5480 6590 6850 7500 7908 8220 9885 10275 13180 13700 15000 15816 16440 16475 17125 19770 20550 26360 27400 32950 34250 39540 41100 49425 51375 65900 68500 79080 82200 82375 85625 90283 98850 102750 131800 137000 164750 171250 180566 197700 205500 247125 256875 270849 329500 342500 361132 395400 411000 411875 451415 494250 513750 541698 659000 685000 722264 823750 902830 988500 1027500 1083396 1235625 1354245 1647500 1805660 1977000 2055000 2166792 2257075 2471250 2708490 3295000 3611320 4514150 4942500 5416980 6771225 9028300 9885000 10833960 11285375 13542450 18056600 22570750 27084900 33856125 45141500 54169800 56426875 67712250 90283000 112853750 135424500 169280625 225707500 270849000 338561250 451415000 677122500 1354245000