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1024332012 = 22321179137239
BaseRepresentation
bin111101000011100…
…001000011101100
32122101110110100200
4331003201003230
54044212111022
6245350553500
734245451464
oct7503410354
92571413320
101024332012
11486232890
12247068890
131342a9322
149a082ba4
155eddabac
hex3d0e10ec

1024332012 has 144 divisors (see below), whose sum is σ = 2893363200. Its totient is φ = 302964480.

The previous prime is 1024332011. The next prime is 1024332037. The reversal of 1024332012 is 2102334201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1024332011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4285789 + ... + 4286027.

It is an arithmetic number, because the mean of its divisors is an integer number (20092800).

Almost surely, 21024332012 is an apocalyptic number.

1024332012 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 1024332012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446681600).

1024332012 is an abundant number, since it is smaller than the sum of its proper divisors (1869031188).

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

1024332012 is a wasteful number, since it uses less digits than its factorization.

1024332012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1024332012 is about 32005.1872670666. The cubic root of 1024332012 is about 1008.0457627561.

Adding to 1024332012 its reverse (2102334201), we get a palindrome (3126666213).

The spelling of 1024332012 in words is "one billion, twenty-four million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 137 158 198 237 239 274 316 396 411 474 478 548 711 717 822 869 948 956 1233 1422 1434 1507 1644 1738 2151 2466 2607 2629 2844 2868 3014 3476 4302 4521 4932 5214 5258 6028 7821 7887 8604 9042 10428 10516 10823 13563 15642 15774 18084 18881 21646 23661 27126 31284 31548 32469 32743 37762 43292 47322 54252 56643 64938 65486 75524 94644 97407 98229 113286 119053 129876 130972 169929 194814 196458 207691 226572 238106 294687 339858 357159 360173 389628 392916 415382 476212 589374 623073 679716 714318 720346 830764 1071477 1080519 1178748 1246146 1428636 1440692 1869219 2142954 2161038 2492292 2586697 3241557 3738438 4285908 4322076 5173394 6483114 7476876 7760091 10346788 12966228 15520182 23280273 28453667 31040364 46560546 56907334 85361001 93121092 113814668 170722002 256083003 341444004 512166006 1024332012