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3076000800 = 253521281667
BaseRepresentation
bin1011011101011000…
…0000110000100000
321221101001000211120
42313112000300200
522244424011200
61225121212240
7136140401235
oct26726006040
97841030746
103076000800
11133935aa24
1271a191080
133a0374522
1421274b78c
151300a79a0
hexb7580c20

3076000800 has 72 divisors (see below), whose sum is σ = 10012390416. Its totient is φ = 820266240.

The previous prime is 3076000793. The next prime is 3076000817. The reversal of 3076000800 is 80006703.

It is a super-3 number, since 3×30760008003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638434 + ... + 643233.

It is an arithmetic number, because the mean of its divisors is an integer number (139060978).

Almost surely, 23076000800 is an apocalyptic number.

3076000800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3076000800 is an abundant number, since it is smaller than the sum of its proper divisors (6936389616).

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

3076000800 is a wasteful number, since it uses less digits than its factorization.

3076000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281690 (or 1281677 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3076000800 is about 55461.7057076322. The cubic root of 3076000800 is about 1454.3272713459.

The spelling of 3076000800 in words is "three billion, seventy-six million, eight hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 1281667 2563334 3845001 5126668 6408335 7690002 10253336 12816670 15380004 19225005 20506672 25633340 30760008 32041675 38450010 41013344 51266680 61520016 64083350 76900020 96125025 102533360 123040032 128166700 153800040 192250050 205066720 256333400 307600080 384500100 512666800 615200160 769000200 1025333600 1538000400 3076000800