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1034903061 = 34371272719
BaseRepresentation
bin111101101011110…
…101111000010101
32200010100112010000
4331223311320111
54104413344221
6250405321513
734434350043
oct7553657025
92603315100
101034903061
114911a2a95
1224a706299
1313653aa9a
149b635393
1560cc7e26
hex3daf5e15

1034903061 has 40 divisors (see below), whose sum is σ = 1600839680. Its totient is φ = 665757792.

The previous prime is 1034903053. The next prime is 1034903063. The reversal of 1034903061 is 1603094301.

1034903061 is a `hidden beast` number, since 10 + 349 + 0 + 306 + 1 = 666.

It is not a de Polignac number, because 1034903061 - 23 = 1034903053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034903063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 379260 + ... + 381978.

It is an arithmetic number, because the mean of its divisors is an integer number (40020992).

Almost surely, 21034903061 is an apocalyptic number.

It is an amenable number.

1034903061 is a deficient number, since it is larger than the sum of its proper divisors (565936619).

1034903061 is a wasteful number, since it uses less digits than its factorization.

1034903061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1034903061 is about 32169.9092476183. The cubic root of 1034903061 is about 1011.5015606056.

Adding to 1034903061 its reverse (1603094301), we get a palindrome (2637997362).

The spelling of 1034903061 in words is "one billion, thirty-four million, nine hundred three thousand, sixty-one".

Divisors: 1 3 9 27 37 81 111 127 333 381 999 1143 2719 2997 3429 4699 8157 10287 14097 24471 42291 73413 100603 126873 220239 301809 345313 380619 905427 1035939 2716281 3107817 8148843 9323451 12776581 27970353 38329743 114989229 344967687 1034903061