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1020314442 = 237374191567
BaseRepresentation
bin111100110100001…
…100001101001010
32122002220100021210
4330310030031022
54042200030232
6245124513550
734166346450
oct7464141512
92562810253
101020314442
11483a39384
1224584b8b6
13133500774
14997189d0
155e8955cc
hex3cd0c34a

1020314442 has 64 divisors (see below), whose sum is σ = 2402426880. Its totient is φ = 282782016.

The previous prime is 1020314419. The next prime is 1020314461. The reversal of 1020314442 is 2444130201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650343 + ... + 651909.

It is an arithmetic number, because the mean of its divisors is an integer number (37537920).

Almost surely, 21020314442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020314442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201213440).

1020314442 is an abundant number, since it is smaller than the sum of its proper divisors (1382112438).

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

1020314442 is a wasteful number, since it uses less digits than its factorization.

1020314442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1020314442 is about 31942.3612464702. The cubic root of 1020314442 is about 1006.7261382980.

Adding to 1020314442 its reverse (2444130201), we get a palindrome (3464444643).

The spelling of 1020314442 in words is "one billion, twenty million, three hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 419 518 777 838 1257 1554 1567 2514 2933 3134 4701 5866 8799 9402 10969 15503 17598 21938 31006 32907 46509 57979 65814 93018 108521 115958 173937 217042 325563 347874 405853 651126 656573 811706 1217559 1313146 1969719 2435118 3939438 4596011 9192022 13788033 24293201 27576066 48586402 72879603 145759206 170052407 340104814 510157221 1020314442