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3138300528 = 2431121928439
BaseRepresentation
bin1011101100001110…
…1010101001110000
322002201021011222220
42323003222221300
522411401104103
61235224401040
7140525054136
oct27303525160
98081234886
103138300528
111370541700
12737016180
133b024817c
1421ab27756
151357b1c53
hexbb0eaa70

3138300528 has 120 divisors (see below), whose sum is σ = 9380649600. Its totient is φ = 900915840.

The previous prime is 3138300499. The next prime is 3138300541. The reversal of 3138300528 is 8250038313.

3138300528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96133 + ... + 124571.

It is an arithmetic number, because the mean of its divisors is an integer number (78172080).

Almost surely, 23138300528 is an apocalyptic number.

3138300528 is a gapful number since it is divisible by the number (38) 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 3138300528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690324800).

3138300528 is an abundant number, since it is smaller than the sum of its proper divisors (6242349072).

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

3138300528 is a wasteful number, since it uses less digits than its factorization.

3138300528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28491 (or 28474 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3138300528 is about 56020.5366629060. The cubic root of 3138300528 is about 1464.0801189394.

The spelling of 3138300528 in words is "three billion, one hundred thirty-eight million, three hundred thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1452 1672 1936 2299 2508 2904 3344 4598 5016 5808 6897 9196 10032 13794 18392 27588 28439 36784 55176 56878 85317 110352 113756 170634 227512 312829 341268 455024 540341 625658 682536 938487 1080682 1251316 1365072 1621023 1876974 2161364 2502632 3242046 3441119 3753948 4322728 5005264 5943751 6484092 6882238 7507896 8645456 10323357 11887502 12968184 13764476 15015792 17831253 20646714 23775004 25936368 27528952 35662506 41293428 47550008 55057904 65381261 71325012 82586856 95100016 130762522 142650024 165173712 196143783 261525044 285300048 392287566 523050088 784575132 1046100176 1569150264 3138300528