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1034413212 = 223717739923
BaseRepresentation
bin111101101001111…
…110010010011100
32200002102122011110
4331221332102130
54104302210322
6250351022020
734430236650
oct7551762234
92602378143
101034413212
11490998a58
1224a50a910
131363c8b31
149b548a60
1560c2cc0c
hex3da7e49c

1034413212 has 96 divisors (see below), whose sum is σ = 2961004032. Its totient is φ = 274323456.

The previous prime is 1034413199. The next prime is 1034413213. The reversal of 1034413212 is 2123144301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034413213) 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, 99283 + ... + 109205.

It is an arithmetic number, because the mean of its divisors is an integer number (30843792).

Almost surely, 21034413212 is an apocalyptic number.

1034413212 is a gapful number since it is divisible by the number (12) 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 1034413212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480502016).

1034413212 is an abundant number, since it is smaller than the sum of its proper divisors (1926590820).

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

1034413212 is a wasteful number, since it uses less digits than its factorization.

1034413212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10027 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1034413212 is about 32162.2948808072. The cubic root of 1034413212 is about 1011.3419446175.

Adding to 1034413212 its reverse (2123144301), we get a palindrome (3157557513).

The spelling of 1034413212 in words is "one billion, thirty-four million, four hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 73 84 102 119 146 204 219 238 292 357 438 476 511 714 876 1022 1241 1428 1533 2044 2482 3066 3723 4964 6132 7446 8687 9923 14892 17374 19846 26061 29769 34748 39692 52122 59538 69461 104244 119076 138922 168691 208383 277844 337382 416766 506073 674764 724379 833532 1012146 1180837 1448758 2024292 2173137 2361674 2897516 3542511 4346274 4723348 5070653 7085022 8692548 10141306 12314443 14170044 15211959 20282612 24628886 30423918 36943329 49257772 60847836 73886658 86201101 147773316 172402202 258603303 344804404 517206606 1034413212