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3104330400 = 253352143719
BaseRepresentation
bin1011100100001000…
…0101001010100000
322000100100022202000
42321002011022200
522324202033100
61232012324000
7136633241643
oct27102051240
98010308660
103104330400
11135334a416
12727773600
133a61b30c2
14216403a5a
15132801900
hexb90852a0

3104330400 has 144 divisors (see below), whose sum is σ = 11227406400. Its totient is φ = 827815680.

The previous prime is 3104330389. The next prime is 3104330417. The reversal of 3104330400 is 40334013.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50260 + ... + 93459.

It is an arithmetic number, because the mean of its divisors is an integer number (77968100).

Almost surely, 23104330400 is an apocalyptic number.

3104330400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3104330400 is an abundant number, since it is smaller than the sum of its proper divisors (8123076000).

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

3104330400 is a wasteful number, since it uses less digits than its factorization.

3104330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143748 (or 143729 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3104330400 is about 55716.5181970302. The cubic root of 3104330400 is about 1458.7783613415.

Adding to 3104330400 its reverse (40334013), we get a palindrome (3144664413).

The spelling of 3104330400 in words is "three billion, one hundred four million, three hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 7200 10800 21600 143719 287438 431157 574876 718595 862314 1149752 1293471 1437190 1724628 2155785 2299504 2586942 2874380 3449256 3592975 3880413 4311570 4599008 5173884 5748760 6467355 6898512 7185950 7760826 8623140 10347768 10778925 11497520 12934710 13797024 14371900 15521652 17246280 19402065 20695536 21557850 22995040 25869420 28743800 31043304 32336775 34492560 38804130 41391072 43115700 51738840 57487600 62086608 64673550 68985120 77608260 86231400 97010325 103477680 114975200 124173216 129347100 155216520 172462800 194020650 206955360 258694200 310433040 344925600 388041300 517388400 620866080 776082600 1034776800 1552165200 3104330400