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3084001350 = 2352471512897
BaseRepresentation
bin1011011111010010…
…0010000001000110
321221221002111112020
42313310202001012
522304001020400
61230004504010
7136265402403
oct26764420106
97857074466
103084001350
111342924951
127209ab006
133a1c15c91
142138312aa
15130b382a0
hexb7d22046

3084001350 has 96 divisors (see below), whose sum is σ = 7865496576. Its totient is φ = 799296000.

The previous prime is 3084001307. The next prime is 3084001351. The reversal of 3084001350 is 531004803.

It is a super-2 number, since 2×30840013502 = 19022128653603645000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3084001350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084001351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063102 + ... + 1065998.

It is an arithmetic number, because the mean of its divisors is an integer number (81932256).

Almost surely, 23084001350 is an apocalyptic number.

3084001350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3084001350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932748288).

3084001350 is an abundant number, since it is smaller than the sum of its proper divisors (4781495226).

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

3084001350 is a wasteful number, since it uses less digits than its factorization.

3084001350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3084001350 is about 55533.7856624236. The cubic root of 3084001350 is about 1455.5870613148.

The spelling of 3084001350 in words is "three billion, eighty-four million, one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 151 235 282 302 453 470 705 755 906 1175 1410 1510 2265 2350 2897 3525 3775 4530 5794 7050 7097 7550 8691 11325 14194 14485 17382 21291 22650 28970 35485 42582 43455 70970 72425 86910 106455 136159 144850 177425 212910 217275 272318 354850 408477 434550 437447 532275 680795 816954 874894 1064550 1312341 1361590 2042385 2187235 2624682 3403975 4084770 4374470 6561705 6807950 10211925 10936175 13123410 20423850 20560009 21872350 32808525 41120018 61680027 65617050 102800045 123360054 205600090 308400135 514000225 616800270 1028000450 1542000675 3084001350