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3404080200 = 2335254110487
BaseRepresentation
bin1100101011100110…
…0010010001001000
322210020101012011110
43022321202101020
523432421031300
61321441130320
7150233130033
oct31271422110
98706335143
103404080200
111497572924
127b00299a0
13423324051
1424415001a
1514dcb1550
hexcae62448

3404080200 has 96 divisors (see below), whose sum is σ = 10573162560. Its totient is φ = 905990400.

The previous prime is 3404080181. The next prime is 3404080219. The reversal of 3404080200 is 20804043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3404080181) and next prime (3404080219).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319357 + ... + 329843.

It is an arithmetic number, because the mean of its divisors is an integer number (110137110).

Almost surely, 23404080200 is an apocalyptic number.

3404080200 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 3404080200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286581280).

3404080200 is an abundant number, since it is smaller than the sum of its proper divisors (7169082360).

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

3404080200 is a wasteful number, since it uses less digits than its factorization.

3404080200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3404080200 is about 58344.4958843591. The cubic root of 3404080200 is about 1504.2958630732.

Adding to 3404080200 its reverse (20804043), we get a palindrome (3424884243).

The spelling of 3404080200 in words is "three billion, four hundred four million, eighty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 541 600 1082 1623 2164 2705 3246 4328 5410 6492 8115 10487 10820 12984 13525 16230 20974 21640 27050 31461 32460 40575 41948 52435 54100 62922 64920 81150 83896 104870 108200 125844 157305 162300 209740 251688 262175 314610 324600 419480 524350 629220 786525 1048700 1258440 1573050 2097400 3146100 5673467 6292200 11346934 17020401 22693868 28367335 34040802 45387736 56734670 68081604 85102005 113469340 136163208 141836675 170204010 226938680 283673350 340408020 425510025 567346700 680816040 851020050 1134693400 1702040100 3404080200