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3111434300 = 225213191031223
BaseRepresentation
bin1011100101110100…
…1011100000111100
322000211201020110102
42321131023200330
522333011344200
61232424500232
7140050520012
oct27135134074
98024636412
103111434300
111357361707
1272a01a678
133a77cc6b0
142173328b2
151332566d5
hexb974b83c

3111434300 has 144 divisors (see below), whose sum is σ = 7734504960. Its totient is φ = 1076924160.

The previous prime is 3111434297. The next prime is 3111434311. The reversal of 3111434300 is 34341113.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2543489 + ... + 2544711.

It is an arithmetic number, because the mean of its divisors is an integer number (53711840).

Almost surely, 23111434300 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 3111434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867252480).

3111434300 is an abundant number, since it is smaller than the sum of its proper divisors (4623070660).

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

3111434300 is a wasteful number, since it uses less digits than its factorization.

3111434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3111434300 is about 55780.2321615821. The cubic root of 3111434300 is about 1459.8902619715.

Adding to 3111434300 its reverse (34341113), we get a palindrome (3145775413).

The spelling of 3111434300 in words is "three billion, one hundred eleven million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 103 130 190 206 247 260 325 380 412 475 494 515 650 950 988 1030 1223 1235 1300 1339 1900 1957 2060 2446 2470 2575 2678 3914 4892 4940 5150 5356 6115 6175 6695 7828 9785 10300 12230 12350 13390 15899 19570 23237 24460 24700 25441 26780 30575 31798 33475 39140 46474 48925 50882 61150 63596 66950 79495 92948 97850 101764 116185 122300 125969 127205 133900 158990 195700 232370 251938 254410 302081 317980 397475 464740 503876 508820 580925 604162 629845 636025 794950 1161850 1208324 1259690 1272050 1510405 1589900 1637597 2323700 2393411 2519380 2544100 3020810 3149225 3275194 4786822 6041620 6298450 6550388 7552025 8187985 9573644 11967055 12596900 15104050 16375970 23934110 30208100 31114343 32751940 40939925 47868220 59835275 62228686 81879850 119670550 124457372 155571715 163759700 239341100 311143430 622286860 777858575 1555717150 3111434300