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3034420400 = 245211689641
BaseRepresentation
bin1011010011011101…
…1001010010110000
321211110210112020202
42310313121102300
522203302423100
61221034054332
7135124101464
oct26467312260
97743715222
103034420400
11131793aa60
1270827a3a8
1339487653b
1420b0064a4
1512b5e27d5
hexb4dd94b0

3034420400 has 60 divisors (see below), whose sum is σ = 7952951544. Its totient is φ = 1103424000.

The previous prime is 3034420393. The next prime is 3034420409. The reversal of 3034420400 is 40244303.

It is a happy number.

3034420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3034420409) 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, 340421 + ... + 349220.

Almost surely, 23034420400 is an apocalyptic number.

It is an amenable number.

3034420400 is an abundant number, since it is smaller than the sum of its proper divisors (4918531144).

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

3034420400 is a wasteful number, since it uses less digits than its factorization.

3034420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689670 (or 689659 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3034420400 is about 55085.5734289841. The cubic root of 3034420400 is about 1447.7444758353.

Adding to 3034420400 its reverse (40244303), we get a palindrome (3074664703).

The spelling of 3034420400 in words is "three billion, thirty-four million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 689641 1379282 2758564 3448205 5517128 6896410 7586051 11034256 13792820 15172102 17241025 27585640 30344204 34482050 37930255 55171280 60688408 68964100 75860510 121376816 137928200 151721020 189651275 275856400 303442040 379302550 606884080 758605100 1517210200 3034420400