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3083288384 = 261119353653
BaseRepresentation
bin1011011111000111…
…0011111101000000
321221212202021112002
42313301303331000
522303310212014
61225541323132
7136256342651
oct26761637500
97855667462
103083288384
111342488220
127207064a8
133a1a265c7
142136c7528
15130a46dde
hexb7c73f40

3083288384 has 112 divisors (see below), whose sum is σ = 7056607680. Its totient is φ = 1321943040.

The previous prime is 3083288363. The next prime is 3083288389. The reversal of 3083288384 is 4838823803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083288389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4721402 + ... + 4722054.

Almost surely, 23083288384 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 3083288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528303840).

3083288384 is an abundant number, since it is smaller than the sum of its proper divisors (3973319296).

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

3083288384 is a wasteful number, since it uses less digits than its factorization.

3083288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The square root of 3083288384 is about 55527.3660819600. The cubic root of 3083288384 is about 1455.4748840976.

The spelling of 3083288384 in words is "three billion, eighty-three million, two hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 353 418 608 653 704 706 836 1216 1306 1412 1672 2612 2824 3344 3883 5224 5648 6688 6707 7183 7766 10448 11296 12407 13376 13414 14366 15532 20896 22592 24814 26828 28732 31064 41792 49628 53656 57464 62128 73777 99256 107312 114928 124256 136477 147554 198512 214624 229856 230509 248512 272954 295108 397024 429248 459712 461018 545908 590216 794048 922036 1091816 1180432 1844072 2183632 2360864 2535599 3688144 4367264 4379671 4721728 5071198 7376288 8734528 8759342 10142396 14752576 17518684 20284792 35037368 40569584 48176381 70074736 81139168 96352762 140149472 162278336 192705524 280298944 385411048 770822096 1541644192 3083288384