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3074438880 = 253252135027
BaseRepresentation
bin1011011101000000…
…0011011011100000
321221021002200021200
42313100003123200
522244024021010
61225023521200
7136121204442
oct26720033340
97837080250
103074438880
111338493487
12719759200
1339cc48606
14212462492
1512ed99cc0
hexb74036e0

3074438880 has 72 divisors (see below), whose sum is σ = 10491527592. Its totient is φ = 819849984.

The previous prime is 3074438867. The next prime is 3074438881. The reversal of 3074438880 is 888344703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074438881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1066074 + ... + 1068953.

It is an arithmetic number, because the mean of its divisors is an integer number (145715661).

Almost surely, 23074438880 is an apocalyptic number.

3074438880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3074438880 is an abundant number, since it is smaller than the sum of its proper divisors (7417088712).

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

3074438880 is a wasteful number, since it uses less digits than its factorization.

3074438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135048 (or 2135037 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3074438880 is about 55447.6228525624. The cubic root of 3074438880 is about 1454.0810720776.

The spelling of 3074438880 in words is "three billion, seventy-four million, four hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2135027 4270054 6405081 8540108 10675135 12810162 17080216 19215243 21350270 25620324 32025405 34160432 38430486 42700540 51240648 64050810 68320864 76860972 85401080 96076215 102481296 128101620 153721944 170802160 192152430 204962592 256203240 307443888 341604320 384304860 512406480 614887776 768609720 1024812960 1537219440 3074438880