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3093073400 = 235240138567
BaseRepresentation
bin1011100001011100…
…1000110111111000
321222120011102001002
42320113020313320
522313311322100
61230531144132
7136435455464
oct27027106770
97876142032
103093073400
111347a6090a
12723a45048
133a3a71361
14214b134a4
1513182b2d5
hexb85c8df8

3093073400 has 48 divisors (see below), whose sum is σ = 7209516240. Its totient is φ = 1234112000.

The previous prime is 3093073393. The next prime is 3093073409. The reversal of 3093073400 is 43703903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3093073409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60917 + ... + 99483.

It is an arithmetic number, because the mean of its divisors is an integer number (150198255).

Almost surely, 23093073400 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 3093073400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604758120).

3093073400 is an abundant number, since it is smaller than the sum of its proper divisors (4116442840).

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

3093073400 is a wasteful number, since it uses less digits than its factorization.

3093073400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38984 (or 38975 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 29.

The square root of 3093073400 is about 55615.4061389468. The cubic root of 3093073400 is about 1457.0129395713.

The spelling of 3093073400 in words is "three billion, ninety-three million, seventy-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 401 802 1604 2005 3208 4010 8020 10025 16040 20050 38567 40100 77134 80200 154268 192835 308536 385670 771340 964175 1542680 1928350 3856700 7713400 15465367 30930734 61861468 77326835 123722936 154653670 309307340 386634175 618614680 773268350 1546536700 3093073400