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3077088 = 253719241
BaseRepresentation
bin1011101111001111100000
312210022222020
423233033200
51241431323
6145541440
735104050
oct13571740
95708866
103077088
111811953
121044880
13839781
145a1560
1540bae3
hex2ef3e0

3077088 has 96 divisors (see below), whose sum is σ = 9757440. Its totient is φ = 829440.

The previous prime is 3077071. The next prime is 3077093. The reversal of 3077088 is 8807703.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12648 + ... + 12888.

It is an arithmetic number, because the mean of its divisors is an integer number (101640).

Almost surely, 23077088 is an apocalyptic number.

3077088 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 3077088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878720).

3077088 is an abundant number, since it is smaller than the sum of its proper divisors (6680352).

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

3077088 is a wasteful number, since it uses less digits than its factorization.

3077088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 3077088 is about 1754.1630482940. The cubic root of 3077088 is about 145.4498593187.

The spelling of 3077088 in words is "three million, seventy-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 241 266 304 336 399 456 482 532 608 672 723 798 912 964 1064 1446 1596 1687 1824 1928 2128 2892 3192 3374 3856 4256 4579 5061 5784 6384 6748 7712 9158 10122 11568 12768 13496 13737 18316 20244 23136 26992 27474 32053 36632 40488 53984 54948 64106 73264 80976 96159 109896 128212 146528 161952 192318 219792 256424 384636 439584 512848 769272 1025696 1538544 3077088