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1030303040 = 26513534673
BaseRepresentation
bin111101011010010…
…010110101000000
32122210200211001212
4331122102311000
54102224144130
6250122545252
734350300644
oct7532226500
92583624055
101030303040
11489640a18
12249068228
131355ba090
149ab98c24
15606b9e95
hex3d692d40

1030303040 has 112 divisors (see below), whose sum is σ = 2692560528. Its totient is φ = 373161984.

The previous prime is 1030303033. The next prime is 1030303067. The reversal of 1030303040 is 403030301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19571776 + 1010731264 = 4424^2 + 31792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218144 + ... + 222816.

It is an arithmetic number, because the mean of its divisors is an integer number (24040719).

Almost surely, 21030303040 is an apocalyptic number.

1030303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346280264).

1030303040 is an abundant number, since it is smaller than the sum of its proper divisors (1662257488).

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

1030303040 is a wasteful number, since it uses less digits than its factorization.

1030303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1030303040 is about 32098.3339131488. Note that the first 3 decimals coincide. The cubic root of 1030303040 is about 1010.0006666009. Note that the first 3 decimals are identical.

Adding to 1030303040 its reverse (403030301), we get a palindrome (1433333341).

The spelling of 1030303040 in words is "one billion, thirty million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 64 65 80 104 106 130 160 208 212 260 265 320 416 424 520 530 689 832 848 1040 1060 1378 1696 2080 2120 2756 3392 3445 4160 4240 4673 5512 6890 8480 9346 11024 13780 16960 18692 22048 23365 27560 37384 44096 46730 55120 60749 74768 93460 110240 121498 149536 186920 220480 242996 247669 299072 303745 373840 485992 495338 607490 747680 971984 990676 1214980 1238345 1495360 1943968 1981352 2429960 2476690 3219697 3887936 3962704 4859920 4953380 6439394 7925408 9719840 9906760 12878788 15850816 16098485 19439680 19813520 25757576 32196970 39627040 51515152 64393940 79254080 103030304 128787880 206060608 257575760 515151520 1030303040