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3031245828 = 2234132832543
BaseRepresentation
bin1011010010101101…
…0010010000000100
321211020211020120000
42310223102100010
522201444331303
61220442041300
7135055110252
oct26453222004
97736736500
103031245828
111316071946
127071a9230
133940045b0
1420a81b5d2
1512b1b6da3
hexb4ad2404

3031245828 has 120 divisors (see below), whose sum is σ = 8567357568. Its totient is φ = 929029824.

The previous prime is 3031245823. The next prime is 3031245853. The reversal of 3031245828 is 8285421303.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3031245792 and 3031245801.

It is not an unprimeable number, because it can be changed into a prime (3031245823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1190725 + ... + 1193267.

Almost surely, 23031245828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3031245828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283678784).

3031245828 is an abundant number, since it is smaller than the sum of its proper divisors (5536111740).

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

3031245828 is a wasteful number, since it uses less digits than its factorization.

3031245828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3031245828 is about 55056.7509756978. The cubic root of 3031245828 is about 1447.2394290554.

The spelling of 3031245828 in words is "three billion, thirty-one million, two hundred forty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 283 324 351 468 566 702 849 1053 1132 1404 1698 2106 2543 2547 3396 3679 4212 5086 5094 7358 7629 7641 10172 10188 11037 14716 15258 15282 22074 22887 22923 30516 30564 33059 33111 44148 45774 45846 66118 66222 68661 91548 91692 99177 99333 132236 132444 137322 198354 198666 205983 274644 297531 297999 396708 397332 411966 595062 595998 719669 823932 892593 1190124 1191996 1439338 1785186 2159007 2677779 2878676 3570372 4318014 5355558 6477021 8636028 9355697 10711116 12954042 18711394 19431063 25908084 28067091 37422788 38862126 56134182 58293189 77724252 84201273 112268364 116586378 168402546 233172756 252603819 336805092 505207638 757811457 1010415276 1515622914 3031245828