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1034057933 is a prime number
BaseRepresentation
bin111101101000100…
…111100011001101
32200001202120210222
4331220213203031
54104204323213
6250335241125
734424230106
oct7550474315
92601676728
101034057933
11490776037
1224a3791a5
131363031cc
149b4953ad
1560bac808
hex3da278cd

1034057933 has 2 divisors, whose sum is σ = 1034057934. Its totient is φ = 1034057932.

The previous prime is 1034057879. The next prime is 1034058001. The reversal of 1034057933 is 3397504301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1027971844 + 6086089 = 32062^2 + 2467^2 .

It is an emirp because it is prime and its reverse (3397504301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1034057933 - 216 = 1033992397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1034057893 and 1034057902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1034657933) by changing a digit.

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 as a sum of consecutive naturals, namely, 517028966 + 517028967.

It is an arithmetic number, because the mean of its divisors is an integer number (517028967).

Almost surely, 21034057933 is an apocalyptic number.

It is an amenable number.

1034057933 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034057933 is an equidigital number, since it uses as much as digits as its factorization.

1034057933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 1034057933 is about 32156.7711843089. The cubic root of 1034057933 is about 1011.2261463741.

The spelling of 1034057933 in words is "one billion, thirty-four million, fifty-seven thousand, nine hundred thirty-three".