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341012100 = 2235211137949
BaseRepresentation
bin10100010100110…
…110111010000100
3212202200012122210
4110110312322010
51144244341400
653501023420
711310361242
oct2424667204
9782605583
10341012100
11165546490
1296254b70
135585a210
143340b792
151ee10950
hex14536e84

341012100 has 144 divisors (see below), whose sum is σ = 1159300800. Its totient is φ = 76300800.

The previous prime is 341012083. The next prime is 341012117. The reversal of 341012100 is 1210143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (341012083) and next prime (341012117).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 38926 + ... + 46874.

It is an arithmetic number, because the mean of its divisors is an integer number (8050700).

Almost surely, 2341012100 is an apocalyptic number.

341012100 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 341012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579650400).

341012100 is an abundant number, since it is smaller than the sum of its proper divisors (818288700).

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

341012100 is a wasteful number, since it uses less digits than its factorization.

341012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7983 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 341012100 is about 18466.5129355815. The cubic root of 341012100 is about 698.6450661301.

Adding to 341012100 its reverse (1210143), we get a palindrome (342222243).

The spelling of 341012100 in words is "three hundred forty-one million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 7949 8580 10725 14300 15898 21450 23847 31796 39745 42900 47694 79490 87439 95388 103337 119235 158980 174878 198725 206674 238470 262317 310011 349756 397450 413348 437195 476940 516685 524634 596175 620022 794900 874390 1033370 1049268 1136707 1192350 1240044 1311585 1550055 1748780 2066740 2185975 2273414 2384700 2583425 2623170 3100110 3410121 4371950 4546828 5166850 5246340 5683535 6200220 6557925 6820242 7750275 8743900 10333700 11367070 13115850 13640484 15500550 17050605 22734140 26231700 28417675 31001100 34101210 56835350 68202420 85253025 113670700 170506050 341012100