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3341221400 = 23521121011367
BaseRepresentation
bin1100011100100110…
…1111111000011000
322121212002122002202
43013021233320120
523320323041100
61311313545332
7145540625156
oct30711577030
98555078082
103341221400
11146503a100
12792b75248
134132b5aaa
14239a6a3d6
151484e67d5
hexc726fe18

3341221400 has 144 divisors (see below), whose sum is σ = 8629603920. Its totient is φ = 1202080000.

The previous prime is 3341221393. The next prime is 3341221427. The reversal of 3341221400 is 41221433.

It is a super-2 number, since 2×33412214002 = 22327520887635920000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2443517 + ... + 2444883.

It is an arithmetic number, because the mean of its divisors is an integer number (59927805).

Almost surely, 23341221400 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 3341221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314801960).

3341221400 is an abundant number, since it is smaller than the sum of its proper divisors (5288382520).

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

3341221400 is a wasteful number, since it uses less digits than its factorization.

3341221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3341221400 is about 57803.2992137992. The cubic root of 3341221400 is about 1494.9789745853.

Adding to 3341221400 its reverse (41221433), we get a palindrome (3382442833).

The spelling of 3341221400 in words is "three billion, three hundred forty-one million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 1367 2020 2200 2222 2420 2525 2734 3025 4040 4444 4840 5050 5468 5555 6050 6835 8888 10100 10936 11110 12100 12221 13670 15037 20200 22220 24200 24442 27340 27775 30074 34175 44440 48884 54680 55550 60148 61105 68350 75185 97768 111100 120296 122210 136700 138067 150370 165407 222200 244420 273400 276134 300740 305525 330814 375925 488840 552268 601480 611050 661628 690335 751850 827035 1104536 1222100 1323256 1380670 1503700 1518737 1654070 2444200 2761340 3007400 3037474 3308140 3451675 4135175 5522680 6074948 6616280 6903350 7593685 8270350 12149896 13806700 15187370 16540700 16706107 27613400 30374740 33081400 33412214 37968425 60749480 66824428 75936850 83530535 133648856 151873700 167061070 303747400 334122140 417652675 668244280 835305350 1670610700 3341221400