Search a number
-
+
1030414332 = 2233137431741
BaseRepresentation
bin111101011010101…
…101111111111100
32122210220110201210
4331122231333330
54102241224312
6250125204420
734351243263
oct7532557774
92583813653
101030414332
114897075a2
12249100710
1313562892c
149abc75da
15606dce3c
hex3d6adffc

1030414332 has 96 divisors (see below), whose sum is σ = 2609711104. Its totient is φ = 315705600.

The previous prime is 1030414313. The next prime is 1030414339. The reversal of 1030414332 is 2334140301.

It is a junction number, because it is equal to n+sod(n) for n = 1030414299 and 1030414308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030414339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590982 + ... + 592722.

Almost surely, 21030414332 is an apocalyptic number.

1030414332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1030414332 is an abundant number, since it is smaller than the sum of its proper divisors (1579296772).

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

1030414332 is a wasteful number, since it uses less digits than its factorization.

1030414332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1030414332 is about 32100.0674765646. The cubic root of 1030414332 is about 1010.0370316128.

Adding to 1030414332 its reverse (2334140301), we get a palindrome (3364554633).

The spelling of 1030414332 in words is "one billion, thirty million, four hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 37 43 62 74 86 93 111 124 129 148 172 186 222 258 372 444 516 1147 1333 1591 1741 2294 2666 3182 3441 3482 3999 4588 4773 5223 5332 6364 6882 6964 7998 9546 10446 13764 15996 19092 20892 49321 53971 64417 74863 98642 107942 128834 147963 149726 161913 193251 197284 215884 224589 257668 295926 299452 323826 386502 449178 591852 647652 773004 898356 1996927 2320753 2769931 3993854 4641506 5539862 5990781 6962259 7987708 8309793 9283012 11079724 11981562 13924518 16619586 23963124 27849036 33239172 85867861 171735722 257603583 343471444 515207166 1030414332