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2034712736 = 257193891229
BaseRepresentation
bin111100101000111…
…0100000010100000
312020210200010010222
41321101310002200
513131341301421
6533522542212
7101264526050
oct17121640240
95223603128
102034712736
119545a6881
12489507968
1326570c444
14154333560
15bd96ccab
hex794740a0

2034712736 has 96 divisors (see below), whose sum is σ = 4835376000. Its totient is φ = 823329792.

The previous prime is 2034712723. The next prime is 2034712747. The reversal of 2034712736 is 6372174302.

It is a junction number, because it is equal to n+sod(n) for n = 2034712696 and 2034712705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654970 + ... + 1656198.

It is an arithmetic number, because the mean of its divisors is an integer number (50368500).

Almost surely, 22034712736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034712736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417688000).

2034712736 is an abundant number, since it is smaller than the sum of its proper divisors (2800663264).

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

2034712736 is a wasteful number, since it uses less digits than its factorization.

2034712736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 2034712736 is about 45107.7901919391. The cubic root of 2034712736 is about 1267.1684982327.

The spelling of 2034712736 in words is "two billion, thirty-four million, seven hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 389 532 608 778 1064 1229 1556 2128 2458 2723 3112 4256 4916 5446 6224 7391 8603 9832 10892 12448 14782 17206 19664 21784 23351 29564 34412 39328 43568 46702 51737 59128 68824 87136 93404 103474 118256 137648 163457 186808 206948 236512 275296 326914 373616 413896 478081 653828 747232 827792 956162 1307656 1655584 1912324 2615312 3346567 3824648 5230624 6693134 7649296 9083539 13386268 15298592 18167078 26772536 36334156 53545072 63584773 72668312 107090144 127169546 145336624 254339092 290673248 508678184 1017356368 2034712736