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3034013200 = 245228126993
BaseRepresentation
bin1011010011010111…
…0101111000010000
321211110000211200021
42310311311320100
522203201410300
61221021233224
7135120454351
oct26465657020
97743024607
103034013200
111317692029
12708102814
133947630aa
1420ad3bd28
1512b561d1a
hexb4d75e10

3034013200 has 60 divisors (see below), whose sum is σ = 7315427988. Its totient is φ = 1209241600.

The previous prime is 3034013197. The next prime is 3034013261. The reversal of 3034013200 is 23104303.

3034013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 331676944 + 2702336256 = 18212^2 + 51984^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 98904 + ... + 125896.

Almost surely, 23034013200 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 3034013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657713994).

3034013200 is an abundant number, since it is smaller than the sum of its proper divisors (4281414788).

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

3034013200 is a wasteful number, since it uses less digits than its factorization.

3034013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27292 (or 27281 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3034013200 is about 55081.8772374363. The cubic root of 3034013200 is about 1447.6797135584.

Adding to 3034013200 its reverse (23104303), we get a palindrome (3057117503).

The spelling of 3034013200 in words is "three billion, thirty-four million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 281 400 562 1124 1405 2248 2810 4496 5620 7025 11240 14050 22480 26993 28100 53986 56200 107972 112400 134965 215944 269930 431888 539860 674825 1079720 1349650 2159440 2699300 5398600 7585033 10797200 15170066 30340132 37925165 60680264 75850330 121360528 151700660 189625825 303401320 379251650 606802640 758503300 1517006600 3034013200