Search a number
-
+
2034033440 = 25516097901
BaseRepresentation
bin111100100111100…
…1110001100100000
312020202101121022212
41321033032030200
513131203032230
6533500221252
7101255666435
oct17117161440
95222347285
102034033440
1195418247a
1248923a828
132655321aa
141541d7b8c
15bd886895
hex793ce320

2034033440 has 48 divisors (see below), whose sum is σ = 4808999160. Its totient is φ = 813004800.

The previous prime is 2034033431. The next prime is 2034033457. The reversal of 2034033440 is 443304302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2028961936 + 5071504 = 45044^2 + 2252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253490 + ... + 261390.

Almost surely, 22034033440 is an apocalyptic number.

2034033440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034033440 is an abundant number, since it is smaller than the sum of its proper divisors (2774965720).

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

2034033440 is a wasteful number, since it uses less digits than its factorization.

2034033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 2034033440 is about 45100.2598662136. The cubic root of 2034033440 is about 1267.0274663176.

Adding to 2034033440 its reverse (443304302), we get a palindrome (2477337742).

The spelling of 2034033440 in words is "two billion, thirty-four million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1609 3218 6436 7901 8045 12872 15802 16090 25744 31604 32180 39505 51488 63208 64360 79010 126416 128720 158020 252832 257440 316040 632080 1264160 12712709 25425418 50850836 63563545 101701672 127127090 203403344 254254180 406806688 508508360 1017016720 2034033440