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3020431200 = 253522943397
BaseRepresentation
bin1011010000001000…
…0001111101100000
321210111110210200020
42310002001331200
522141212244300
61215414153440
7134564145603
oct26402017540
97714423606
103020431200
11130aa55736
12703652880
133919b8cc7
1420920433a
1512a27c8a0
hexb4081f60

3020431200 has 144 divisors (see below), whose sum is σ = 10170755280. Its totient is φ = 777656320.

The previous prime is 3020431199. The next prime is 3020431201. The reversal of 3020431200 is 21340203.

It is an interprime number because it is at equal distance from previous prime (3020431199) and next prime (3020431201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3020431200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020431201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47902 + ... + 91298.

It is an arithmetic number, because the mean of its divisors is an integer number (70630245).

Almost surely, 23020431200 is an apocalyptic number.

3020431200 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 3020431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085377640).

3020431200 is an abundant number, since it is smaller than the sum of its proper divisors (7150324080).

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

3020431200 is a wasteful number, since it uses less digits than its factorization.

3020431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43449 (or 43436 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3020431200 is about 54958.4497597958. The cubic root of 3020431200 is about 1445.5162644858.

Adding to 3020431200 its reverse (21340203), we get a palindrome (3041771403).

The spelling of 3020431200 in words is "three billion, twenty million, four hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 75 80 87 96 100 116 120 145 150 160 174 200 232 240 290 300 348 400 435 464 480 580 600 696 725 800 870 928 1160 1200 1392 1450 1740 2175 2320 2400 2784 2900 3480 4350 4640 5800 6960 8700 11600 13920 17400 23200 34800 43397 69600 86794 130191 173588 216985 260382 347176 433970 520764 650955 694352 867940 1041528 1084925 1258513 1301910 1388704 1735880 2083056 2169850 2517026 2603820 3254775 3471760 3775539 4166112 4339700 5034052 5207640 6292565 6509550 6943520 7551078 8679400 10068104 10415280 12585130 13019100 15102156 17358800 18877695 20136208 20830560 25170260 26038200 30204312 31462825 34717600 37755390 40272416 50340520 52076400 60408624 62925650 75510780 94388475 100681040 104152800 120817248 125851300 151021560 188776950 201362080 251702600 302043120 377553900 503405200 604086240 755107800 1006810400 1510215600 3020431200