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1030034120 = 235373072267
BaseRepresentation
bin111101011001010…
…001001011001000
32122210012011011212
4331121101023020
54102142042440
6250113112252
734345100633
oct7531211310
92583164155
101030034120
11489477975
12248b58688
1313552485b
149ab28c1a
1560665465
hex3d6512c8

1030034120 has 64 divisors (see below), whose sum is σ = 2389020480. Its totient is φ = 399396096.

The previous prime is 1030034119. The next prime is 1030034129. The reversal of 1030034120 is 214300301.

It is a junction number, because it is equal to n+sod(n) for n = 1030034095 and 1030034104.

It is not an unprimeable number, because it can be changed into a prime (1030034129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453227 + ... + 455493.

It is an arithmetic number, because the mean of its divisors is an integer number (37328445).

Almost surely, 21030034120 is an apocalyptic number.

1030034120 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 1030034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194510240).

1030034120 is an abundant number, since it is smaller than the sum of its proper divisors (1358986360).

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

1030034120 is a wasteful number, since it uses less digits than its factorization.

1030034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1030034120 is about 32094.1446373011. The cubic root of 1030034120 is about 1009.9127853326.

Adding to 1030034120 its reverse (214300301), we get a palindrome (1244334421).

The spelling of 1030034120 in words is "one billion, thirty million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 307 370 614 740 1228 1480 1535 2267 2456 3070 4534 6140 9068 11335 11359 12280 18136 22670 22718 45340 45436 56795 83879 90680 90872 113590 167758 227180 335516 419395 454360 671032 695969 838790 1391938 1677580 2783876 3355160 3479845 5567752 6959690 13919380 25750853 27838760 51501706 103003412 128754265 206006824 257508530 515017060 1030034120