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1034684300 = 2252134911621
BaseRepresentation
bin111101101011000…
…000011110001100
32200002221102000202
4331223000132030
54104334344200
6250400513032
734432446206
oct7553003614
92602842022
101034684300
114910636a1
1224a61b778
13136492340
149b5b9776
1560c831d5
hex3dac078c

1034684300 has 72 divisors (see below), whose sum is σ = 2424396912. Its totient is φ = 381024000.

The previous prime is 1034684293. The next prime is 1034684347. The reversal of 1034684300 is 34864301.

1034684300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 637490 + ... + 639110.

Almost surely, 21034684300 is an apocalyptic number.

1034684300 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 1034684300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212198456).

1034684300 is an abundant number, since it is smaller than the sum of its proper divisors (1389712612).

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

1034684300 is a wasteful number, since it uses less digits than its factorization.

1034684300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 1034684300 is about 32166.5089806152. The cubic root of 1034684300 is about 1011.4302841435.

The spelling of 1034684300 in words is "one billion, thirty-four million, six hundred eighty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 491 650 982 1300 1621 1964 2455 3242 4910 6383 6484 8105 9820 12275 12766 16210 21073 24550 25532 31915 32420 40525 42146 49100 63830 81050 84292 105365 127660 159575 162100 210730 319150 421460 526825 638300 795911 1053650 1591822 2107300 3183644 3979555 7959110 10346843 15918220 19897775 20693686 39795550 41387372 51734215 79591100 103468430 206936860 258671075 517342150 1034684300