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3053034828 = 223417678273
BaseRepresentation
bin1011010111111001…
…1001110101001100
321212202211020110000
42311332121311030
522223034103303
61222541044300
7135441240114
oct26576316514
97782736400
103053034828
1113273a4288
12712556690
133986930ac
1420d690044
1512d06cda3
hexb5f99d4c

3053034828 has 120 divisors (see below), whose sum is σ = 8577887472. Its totient is φ = 943405056.

The previous prime is 3053034799. The next prime is 3053034833. The reversal of 3053034828 is 8284303503.

3053034828 is a `hidden beast` number, since 305 + 3 + 0 + 348 + 2 + 8 = 666.

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 = 3053034792 and 3053034801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 364900 + ... + 373172.

Almost surely, 23053034828 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 3053034828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288943736).

3053034828 is an abundant number, since it is smaller than the sum of its proper divisors (5524852644).

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

3053034828 is a wasteful number, since it uses less digits than its factorization.

3053034828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3053034828 is about 55254.2742962026. The cubic root of 3053034828 is about 1450.6988035575.

The spelling of 3053034828 in words is "three billion, fifty-three million, thirty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 67 68 81 102 108 134 153 162 201 204 268 306 324 402 459 603 612 804 918 1139 1206 1377 1809 1836 2278 2412 2754 3417 3618 4556 5427 5508 6834 7236 8273 10251 10854 13668 16546 20502 21708 24819 30753 33092 41004 49638 61506 74457 92259 99276 123012 140641 148914 184518 223371 281282 297828 369036 421923 446742 554291 562564 670113 843846 893484 1108582 1265769 1340226 1662873 1687692 2217164 2531538 2680452 3325746 3797307 4988619 5063076 6651492 7594614 9422947 9977238 11391921 14965857 15189228 18845894 19954476 22783842 28268841 29931714 37691788 44897571 45567684 56537682 59863428 84806523 89795142 113075364 169613046 179590284 254419569 339226092 508839138 763258707 1017678276 1526517414 3053034828