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3068928 = 2103437
BaseRepresentation
bin1011101101010000000000
312202220210000
423231100000
51241201203
6145440000
735041212
oct13552000
95686700
103068928
111806805
121040000
13835b45
1459c5b2
154094a3
hex2ed400

3068928 has 110 divisors (see below), whose sum is σ = 9412106. Its totient is φ = 995328.

The previous prime is 3068927. The next prime is 3068929. The reversal of 3068928 is 8298603.

It is an interprime number because it is at equal distance from previous prime (3068927) and next prime (3068929).

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 82944 = 1728^2 + 288^2 .

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 = 3068892 and 3068901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3068921) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82926 + ... + 82962.

Almost surely, 23068928 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 3068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706053).

3068928 is an abundant number, since it is smaller than the sum of its proper divisors (6343178).

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

3068928 is an equidigital number, since it uses as much as digits as its factorization.

3068928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3068928 is about 1751.8356087259. The cubic root of 3068928 is about 145.3211747163.

The spelling of 3068928 in words is "three million, sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 256 288 296 324 333 384 432 444 512 576 592 648 666 768 864 888 999 1024 1152 1184 1296 1332 1536 1728 1776 1998 2304 2368 2592 2664 2997 3072 3456 3552 3996 4608 4736 5184 5328 5994 6912 7104 7992 9216 9472 10368 10656 11988 13824 14208 15984 18944 20736 21312 23976 27648 28416 31968 37888 41472 42624 47952 56832 63936 82944 85248 95904 113664 127872 170496 191808 255744 340992 383616 511488 767232 1022976 1534464 3068928