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1030412440 = 235431973041
BaseRepresentation
bin111101011010101…
…101100010011000
32122210220101010201
4331122231202120
54102241144230
6250125151544
734351234621
oct7532554230
92583811121
101030412440
11489706132
122490bb5b4
13135627b05
149abc6a48
15606dc5ca
hex3d6ad898

1030412440 has 64 divisors (see below), whose sum is σ = 2385171360. Its totient is φ = 400404480.

The previous prime is 1030412419. The next prime is 1030412491. The reversal of 1030412440 is 442140301.

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, 337320 + ... + 340360.

Almost surely, 21030412440 is an apocalyptic number.

1030412440 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 1030412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192585680).

1030412440 is an abundant number, since it is smaller than the sum of its proper divisors (1354758920).

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

1030412440 is a wasteful number, since it uses less digits than its factorization.

1030412440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1030412440 is about 32100.0380062080. The cubic root of 1030412440 is about 1010.0364134178.

Adding to 1030412440 its reverse (442140301), we get a palindrome (1472552741).

The spelling of 1030412440 in words is "one billion, thirty million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 197 215 344 394 430 788 860 985 1576 1720 1970 3041 3940 6082 7880 8471 12164 15205 16942 24328 30410 33884 42355 60820 67768 84710 121640 130763 169420 261526 338840 523052 599077 653815 1046104 1198154 1307630 2396308 2615260 2995385 4792616 5230520 5990770 11981540 23963080 25760311 51520622 103041244 128801555 206082488 257603110 515206220 1030412440