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3072832728 = 23373537043
BaseRepresentation
bin1011011100100111…
…1011010011011000
321221011002002001120
42313021323103120
522243121121403
61224525245240
7136101435000
oct26711732330
97834062046
103072832728
111337596789
12719103820
1339c805524
14212165000
1512eb7de53
hexb727b4d8

3072832728 has 128 divisors (see below), whose sum is σ = 9129024000. Its totient is φ = 861264768.

The previous prime is 3072832669. The next prime is 3072832769. The reversal of 3072832728 is 8272382703.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3072832728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432775 + ... + 439817.

It is an arithmetic number, because the mean of its divisors is an integer number (71320500).

Almost surely, 23072832728 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 3072832728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564512000).

3072832728 is an abundant number, since it is smaller than the sum of its proper divisors (6056191272).

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

3072832728 is a wasteful number, since it uses less digits than its factorization.

3072832728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7126 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 3072832728 is about 55433.1374540536. The cubic root of 3072832728 is about 1453.8278137182.

The spelling of 3072832728 in words is "three billion, seventy-two million, eight hundred thirty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 343 371 392 424 588 636 686 742 1029 1113 1176 1272 1372 1484 2058 2226 2597 2744 2968 4116 4452 5194 7043 7791 8232 8904 10388 14086 15582 18179 20776 21129 28172 31164 36358 42258 49301 54537 56344 62328 72716 84516 98602 109074 145432 147903 169032 197204 218148 295806 345107 373279 394408 436296 591612 690214 746558 1035321 1119837 1183224 1380428 1493116 2070642 2239674 2415749 2612953 2760856 2986232 4141284 4479348 4831498 5225906 7247247 7838859 8282568 8958696 9662996 10451812 14494494 15677718 18290671 19325992 20903624 28988988 31355436 36581342 54872013 57977976 62710872 73162684 109744026 128034697 146325368 219488052 256069394 384104091 438976104 512138788 768208182 1024277576 1536416364 3072832728