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1034634090 = 23575479007
BaseRepresentation
bin111101101010110…
…100001101101010
32200002211212011010
4331222310031222
54104331242330
6250355444350
734432146630
oct7552641552
92602755133
101034634090
114910299a6
1224a5b66b6
13136475529
149b5a5350
1560c733b0
hex3dab436a

1034634090 has 64 divisors (see below), whose sum is σ = 2843357184. Its totient is φ = 236029248.

The previous prime is 1034634079. The next prime is 1034634101. The reversal of 1034634090 is 904364301.

It is an interprime number because it is at equal distance from previous prime (1034634079) and next prime (1034634101).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 110367 + ... + 119373.

It is an arithmetic number, because the mean of its divisors is an integer number (44427456).

Almost surely, 21034634090 is an apocalyptic number.

1034634090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034634090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421678592).

1034634090 is an abundant number, since it is smaller than the sum of its proper divisors (1808723094).

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

1034634090 is a wasteful number, since it uses less digits than its factorization.

1034634090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1034634090 is about 32165.7285009993. The cubic root of 1034634090 is about 1011.4139233605.

Adding to 1034634090 its reverse (904364301), we get a palindrome (1938998391).

The spelling of 1034634090 in words is "one billion, thirty-four million, six hundred thirty-four thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 547 1094 1641 2735 3282 3829 5470 7658 8205 9007 11487 16410 18014 19145 22974 27021 38290 45035 54042 57435 63049 90070 114870 126098 135105 189147 270210 315245 378294 630490 945735 1891470 4926829 9853658 14780487 24634145 29560974 34487803 49268290 68975606 73902435 103463409 147804870 172439015 206926818 344878030 517317045 1034634090