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341452100 = 2252114167113
BaseRepresentation
bin10100010110100…
…010010101000100
3212210111120020002
4110112202111010
51144402431400
653514300432
711314203113
oct2426422504
9783446202
10341452100
11165817020
1296427718
1355982582
14334c3c7a
151ee9aed5
hex145a2544

341452100 has 144 divisors (see below), whose sum is σ = 847820736. Its totient is φ = 118272000.

The previous prime is 341452099. The next prime is 341452103. The reversal of 341452100 is 1254143.

341452100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341452103) 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 47 ways as a sum of consecutive naturals, for example, 3021644 + ... + 3021756.

It is an arithmetic number, because the mean of its divisors is an integer number (5887644).

Almost surely, 2341452100 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 341452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423910368).

341452100 is an abundant number, since it is smaller than the sum of its proper divisors (506368636).

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

341452100 is a wasteful number, since it uses less digits than its factorization.

341452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 341452100 is about 18478.4225517223. The cubic root of 341452100 is about 698.9454188271.

The spelling of 341452100 in words is "three hundred forty-one million, four hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 67 82 100 110 113 134 164 205 220 226 268 275 335 410 451 452 550 565 670 737 820 902 1025 1100 1130 1243 1340 1474 1675 1804 2050 2255 2260 2486 2747 2825 2948 3350 3685 4100 4510 4633 4972 5494 5650 6215 6700 7370 7571 9020 9266 10988 11275 11300 12430 13735 14740 15142 18425 18532 22550 23165 24860 27470 30217 30284 31075 36850 37855 45100 46330 50963 54940 60434 62150 68675 73700 75710 83281 92660 101926 115825 120868 124300 137350 151085 151420 166562 189275 203852 231650 254815 274700 302170 310411 333124 378550 416405 463300 509630 604340 620822 755425 757100 832810 1019260 1241644 1274075 1510850 1552055 1665620 2082025 2548150 3021700 3104110 3414521 4164050 5096300 6208220 6829042 7760275 8328100 13658084 15520550 17072605 31041100 34145210 68290420 85363025 170726050 341452100