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1034343100 = 2252747149211
BaseRepresentation
bin111101101001101…
…101001010111100
32200002022001222201
4331221231022330
54104242434400
6250345321244
734426525360
oct7551551274
92602261881
101034343100
1149095030a
1224a496224
131363a2c4b
149b52b2a0
1560c1706a
hex3da6d2bc

1034343100 has 144 divisors (see below), whose sum is σ = 2649830400. Its totient is φ = 343123200.

The previous prime is 1034343091. The next prime is 1034343133. The reversal of 1034343100 is 13434301.

It is a super-2 number, since 2×10343431002 = 2139731297035220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4901995 + ... + 4902205.

It is an arithmetic number, because the mean of its divisors is an integer number (18401600).

Almost surely, 21034343100 is an apocalyptic number.

1034343100 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 1034343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324915200).

1034343100 is an abundant number, since it is smaller than the sum of its proper divisors (1615487300).

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

1034343100 is a wasteful number, since it uses less digits than its factorization.

1034343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1034343100 is about 32161.2048903644. The cubic root of 1034343100 is about 1011.3190946875.

Adding to 1034343100 its reverse (13434301), we get a palindrome (1047777401).

The spelling of 1034343100 in words is "one billion, thirty-four million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 149 175 188 211 235 298 329 350 422 470 596 658 700 745 844 940 1043 1055 1175 1316 1477 1490 1645 2086 2110 2350 2954 2980 3290 3725 4172 4220 4700 5215 5275 5908 6580 7003 7385 7450 8225 9917 10430 10550 14006 14770 14900 16450 19834 20860 21100 26075 28012 29540 31439 32900 35015 36925 39668 49021 49585 52150 62878 69419 70030 73850 98042 99170 104300 125756 138838 140060 147700 157195 175075 196084 198340 220073 245105 247925 277676 314390 347095 350150 440146 490210 495850 628780 694190 700300 785975 880292 980420 991700 1100365 1225525 1388380 1477633 1571950 1735475 2200730 2451050 2955266 3143900 3470950 4401460 4902100 5501825 5910532 6941900 7388165 10343431 11003650 14776330 20686862 22007300 29552660 36940825 41373724 51717155 73881650 103434310 147763300 206868620 258585775 517171550 1034343100