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341444400 = 243521125867
BaseRepresentation
bin10100010110100…
…000011100110000
3212210111011122220
4110112200130300
51144402210100
653514201040
711314141503
oct2426403460
9783434586
10341444400
11165811260
1296423180
135597bc0b
14334c113a
151ee98aa0
hex145a0730

341444400 has 120 divisors (see below), whose sum is σ = 1193239104. Its totient is φ = 82771200.

The previous prime is 341444393. The next prime is 341444401. The reversal of 341444400 is 4444143.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (341444401) by changing a digit.

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, 267 + ... + 26133.

Almost surely, 2341444400 is an apocalyptic number.

341444400 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 341444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596619552).

341444400 is an abundant number, since it is smaller than the sum of its proper divisors (851794704).

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

341444400 is a wasteful number, since it uses less digits than its factorization.

341444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25899 (or 25888 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 341444400 is about 18478.2141994296. The cubic root of 341444400 is about 698.9401648738.

Adding to 341444400 its reverse (4444143), we get a palindrome (345888543).

The spelling of 341444400 in words is "three hundred forty-one million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 25867 51734 77601 103468 129335 155202 206936 258670 284537 310404 388005 413872 517340 569074 620808 646675 776010 853611 1034680 1138148 1241616 1293350 1422685 1552020 1707222 1940025 2069360 2276296 2586700 2845370 3104040 3414444 3880050 4268055 4552592 5173400 5690740 6208080 6828888 7113425 7760100 8536110 10346800 11381480 13657776 14226850 15520200 17072220 21340275 22762960 28453700 31040400 34144440 42680550 56907400 68288880 85361100 113814800 170722200 341444400