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3034405200 = 2435214231777
BaseRepresentation
bin1011010011011101…
…0101100101010000
321211110202202101210
42310313111211100
522203301431300
61221033500120
7135124006251
oct26467254520
97743682353
103034405200
11131792a5a2
12708271640
1339486c648
1420b000b28
1512b5dd050
hexb4dd5950

3034405200 has 120 divisors (see below), whose sum is σ = 9732515968. Its totient is φ = 808151040.

The previous prime is 3034405183. The next prime is 3034405243. The reversal of 3034405200 is 25044303.

It is a happy number.

3034405200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×30344052002 = 18415229835574080000, which contains 22 as substring.

It is a congruent number.

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, 1706712 + ... + 1708488.

Almost surely, 23034405200 is an apocalyptic number.

3034405200 is a gapful number since it is divisible by the number (30) 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 3034405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866257984).

3034405200 is an abundant number, since it is smaller than the sum of its proper divisors (6698110768).

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

3034405200 is a wasteful number, since it uses less digits than its factorization.

3034405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3034405200 is about 55085.4354616536. The cubic root of 3034405200 is about 1447.7420584871.

Adding to 3034405200 its reverse (25044303), we get a palindrome (3059449503).

The spelling of 3034405200 in words is "three billion, thirty-four million, four hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1423 1777 2846 3554 4269 5331 5692 7108 7115 8538 8885 10662 11384 14216 14230 17076 17770 21324 21345 22768 26655 28432 28460 34152 35540 35575 42648 42690 44425 53310 56920 68304 71080 71150 85296 85380 88850 106620 106725 113840 133275 142160 142300 170760 177700 213240 213450 266550 284600 341520 355400 426480 426900 533100 569200 710800 853800 1066200 1707600 2132400 2528671 5057342 7586013 10114684 12643355 15172026 20229368 25286710 30344052 37930065 40458736 50573420 60688104 63216775 75860130 101146840 121376208 126433550 151720260 189650325 202293680 252867100 303440520 379300650 505734200 606881040 758601300 1011468400 1517202600 3034405200