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3034134400 = 27521186197
BaseRepresentation
bin1011010011011001…
…0011011110000000
321211110020222221011
42310312103132000
522203214300100
61221024010304
7135121500613
oct26466233600
97743228834
103034134400
1113177650a0
12708160994
133947a62cb
1420ad7017a
1512b587bba
hexb4d93780

3034134400 has 96 divisors (see below), whose sum is σ = 8176742280. Its totient is φ = 1103308800.

The previous prime is 3034134373. The next prime is 3034134431. The reversal of 3034134400 is 44314303.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 7899 + ... + 78298.

Almost surely, 23034134400 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 3034134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088371140).

3034134400 is an abundant number, since it is smaller than the sum of its proper divisors (5142607880).

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

3034134400 is a wasteful number, since it uses less digits than its factorization.

3034134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86232 (or 86215 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3034134400 is about 55082.9774068178. The cubic root of 3034134400 is about 1447.6989901660.

Adding to 3034134400 its reverse (44314303), we get a palindrome (3078448703).

The spelling of 3034134400 in words is "three billion, thirty-four million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 35200 86197 172394 344788 430985 689576 861970 948167 1379152 1723940 1896334 2154925 2758304 3447880 3792668 4309850 4740835 5516608 6895760 7585336 8619700 9481670 11033216 13791520 15170672 17239400 18963340 23704175 27583040 30341344 34478800 37926680 47408350 55166080 60682688 68957600 75853360 94816700 121365376 137915200 151706720 189633400 275830400 303413440 379266800 606826880 758533600 1517067200 3034134400