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1030381416 = 2332235031237
BaseRepresentation
bin111101011010100…
…101111101101000
32122210211210120200
4331122211331220
54102234201131
6250124352200
734351045311
oct7532457550
92583753520
101030381416
11489694899
122490a5660
1313561695c
149abb9608
15606d32e6
hex3d6a5f68

1030381416 has 96 divisors (see below), whose sum is σ = 2920095360. Its totient is φ = 327609216.

The previous prime is 1030381411. The next prime is 1030381421. The reversal of 1030381416 is 6141830301.

It is an interprime number because it is at equal distance from previous prime (1030381411) and next prime (1030381421).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1030381416.

It is not an unprimeable number, because it can be changed into a prime (1030381411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832350 + ... + 833586.

It is an arithmetic number, because the mean of its divisors is an integer number (30417660).

Almost surely, 21030381416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030381416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460047680).

1030381416 is an abundant number, since it is smaller than the sum of its proper divisors (1889713944).

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

1030381416 is a wasteful number, since it uses less digits than its factorization.

1030381416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1030381416 is about 32099.5547632674. The cubic root of 1030381416 is about 1010.0262764787.

It can be divided in two parts, 10303 and 81416, that added together give a palindrome (91719).

The spelling of 1030381416 in words is "one billion, thirty million, three hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 503 552 828 1006 1237 1509 1656 2012 2474 3018 3711 4024 4527 4948 6036 7422 9054 9896 11133 11569 12072 14844 18108 22266 23138 28451 29688 34707 36216 44532 46276 56902 69414 85353 89064 92552 104121 113804 138828 170706 208242 227608 256059 277656 341412 416484 512118 622211 682824 832968 1024236 1244422 1866633 2048472 2488844 3733266 4977688 5599899 7466532 11199798 14310853 14933064 22399596 28621706 42932559 44799192 57243412 85865118 114486824 128797677 171730236 257595354 343460472 515190708 1030381416