Search a number
-
+
3040201200 = 243523768473
BaseRepresentation
bin1011010100110101…
…1100100111110000
321211212200020000110
42311031130213300
522211242414300
61221402021320
7135224166231
oct26515344760
97755606013
103040201200
111320129183
1270a1a7840
13395b1b82a
1420baad088
1512bd85550
hexb535c9f0

3040201200 has 120 divisors (see below), whose sum is σ = 10002134128. Its totient is φ = 788797440.

The previous prime is 3040201187. The next prime is 3040201201. The reversal of 3040201200 is 21020403.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040201201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10164 + ... + 78636.

Almost surely, 23040201200 is an apocalyptic number.

3040201200 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 3040201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001067064).

3040201200 is an abundant number, since it is smaller than the sum of its proper divisors (6961932928).

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

3040201200 is a wasteful number, since it uses less digits than its factorization.

3040201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68531 (or 68520 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3040201200 is about 55138.0195509414. The cubic root of 3040201200 is about 1448.6632468227.

Adding to 3040201200 its reverse (21020403), we get a palindrome (3061221603).

The spelling of 3040201200 in words is "three billion, forty million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 68473 136946 205419 273892 342365 410838 547784 684730 821676 1027095 1095568 1369460 1643352 1711825 2054190 2533501 2738920 3286704 3423650 4108380 5067002 5135475 5477840 6847300 7600503 8216760 10134004 10270950 12667505 13694600 15201006 16433520 20268008 20541900 25335010 27389200 30402012 38002515 40536016 41083800 50670020 60804024 63337525 76005030 82167600 101340040 121608048 126675050 152010060 190012575 202680080 253350100 304020120 380025150 506700200 608040240 760050300 1013400400 1520100600 3040201200