Search a number
-
+
1034278100 = 225226938449
BaseRepresentation
bin111101101001011…
…101010011010100
32200002011202211022
4331221131103110
54104233344400
6250344100312
734426135022
oct7551352324
92602152738
101034278100
11490906499
1224a464698
1313637c49b
149b511712
1560c02b85
hex3da5d4d4

1034278100 has 36 divisors (see below), whose sum is σ = 2252785500. Its totient is φ = 412162560.

The previous prime is 1034278067. The next prime is 1034278111. The reversal of 1034278100 is 18724301.

It can be written as a sum of positive squares in 6 ways, for example, as 481275844 + 553002256 = 21938^2 + 23516^2 .

It is a super-2 number, since 2×10342781002 = 2139462376279220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1034278100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7676 + ... + 46124.

It is an arithmetic number, because the mean of its divisors is an integer number (62577375).

Almost surely, 21034278100 is an apocalyptic number.

1034278100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034278100 is an abundant number, since it is smaller than the sum of its proper divisors (1218507400).

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

1034278100 is a wasteful number, since it uses less digits than its factorization.

1034278100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38732 (or 38725 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1034278100 is about 32160.1943402088. The cubic root of 1034278100 is about 1011.2979098671.

The spelling of 1034278100 in words is "one billion, thirty-four million, two hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 2690 5380 6725 13450 26900 38449 76898 153796 192245 384490 768980 961225 1922450 3844900 10342781 20685562 41371124 51713905 103427810 206855620 258569525 517139050 1034278100