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3005471376 = 2432192937879
BaseRepresentation
bin1011001100100011…
…1101101010010000
321202110022202122200
42303020331222100
522123400041001
61214121403200
7134323041135
oct26310755220
97673282580
103005471376
111302568146
126ba639500
1338b87ba3b
1420722c58c
15128cc5086
hexb323da90

3005471376 has 120 divisors (see below), whose sum is σ = 9159384000. Its totient is φ = 916344576.

The previous prime is 3005471351. The next prime is 3005471411. The reversal of 3005471376 is 6731745003.

3005471376 is a `hidden beast` number, since 30 + 0 + 547 + 13 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3005471376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60405 + ... + 98283.

It is an arithmetic number, because the mean of its divisors is an integer number (76328200).

Almost surely, 23005471376 is an apocalyptic number.

3005471376 is a gapful number since it is divisible by the number (36) 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 3005471376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579692000).

3005471376 is an abundant number, since it is smaller than the sum of its proper divisors (6153912624).

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

3005471376 is a wasteful number, since it uses less digits than its factorization.

3005471376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37941 (or 37932 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 3005471376 is about 54822.1795991367. The cubic root of 3005471376 is about 1443.1258255634.

The spelling of 3005471376 in words is "three billion, five million, four hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 144 152 171 174 228 232 261 304 342 348 456 464 522 551 684 696 912 1044 1102 1368 1392 1653 2088 2204 2736 3306 4176 4408 4959 6612 8816 9918 13224 19836 26448 37879 39672 75758 79344 113637 151516 227274 303032 340911 454548 606064 681822 719701 909096 1098491 1363644 1439402 1818192 2159103 2196982 2727288 2878804 3295473 4318206 4393964 5454576 5757608 6477309 6590946 8636412 8787928 9886419 11515216 12954618 13181892 17272824 17575856 19772838 20871329 25909236 26363784 34545648 39545676 41742658 51818472 52727568 62613987 79091352 83485316 103636944 125227974 158182704 166970632 187841961 250455948 333941264 375683922 500911896 751367844 1001823792 1502735688 3005471376