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1034314020 = 22325191931567
BaseRepresentation
bin111101101001100…
…110000100100100
32200002020121002200
4331221212010210
54104241022040
6250344534500
734426344525
oct7551460444
92602217080
101034314020
11490930483
1224a481430
1313639293c
149b52084c
1560c0d630
hex3da66124

1034314020 has 144 divisors (see below), whose sum is σ = 3321776640. Its totient is φ = 259780608.

The previous prime is 1034314003. The next prime is 1034314031. The reversal of 1034314020 is 204134301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1034313984 and 1034314002.

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, 659277 + ... + 660843.

Almost surely, 21034314020 is an apocalyptic number.

1034314020 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 1034314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660888320).

1034314020 is an abundant number, since it is smaller than the sum of its proper divisors (2287462620).

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

1034314020 is a wasteful number, since it uses less digits than its factorization.

1034314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1034314020 is about 32160.7527896969. The cubic root of 1034314020 is about 1011.3096170345.

Adding to 1034314020 its reverse (204134301), we get a palindrome (1238448321).

The spelling of 1034314020 in words is "one billion, thirty-four million, three hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 193 228 285 342 380 386 570 579 684 772 855 965 1140 1158 1567 1710 1737 1930 2316 2895 3134 3420 3474 3667 3860 4701 5790 6268 6948 7334 7835 8685 9402 11001 11580 14103 14668 15670 17370 18335 18804 22002 23505 28206 29773 31340 33003 34740 36670 44004 47010 55005 56412 59546 66006 70515 73340 89319 94020 110010 119092 132012 141030 148865 165015 178638 220020 267957 282060 297730 302431 330030 357276 446595 535914 595460 604862 660060 893190 907293 1071828 1209724 1339785 1512155 1786380 1814586 2679570 2721879 3024310 3629172 4536465 5359140 5443758 5746189 6048620 9072930 10887516 11492378 13609395 17238567 18145860 22984756 27218790 28730945 34477134 51715701 54437580 57461890 68954268 86192835 103431402 114923780 172385670 206862804 258578505 344771340 517157010 1034314020