Search a number
-
+
343410100 = 2252112101281
BaseRepresentation
bin10100011110000…
…000010110110100
3212221012001002121
4110132000112310
51200403110400
654024245324
711336636425
oct2436002664
9787161077
10343410100
11166934100
1297010844
13561b9857
143387364c
152023621a
hex147805b4

343410100 has 108 divisors (see below), whose sum is σ = 830157804. Its totient is φ = 123200000.

The previous prime is 343410037. The next prime is 343410101. The reversal of 343410100 is 1014343.

It can be written as a sum of positive squares in 6 ways, for example, as 19554084 + 323856016 = 4422^2 + 17996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343410101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1221960 + ... + 1222240.

Almost surely, 2343410100 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 343410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415078902).

343410100 is an abundant number, since it is smaller than the sum of its proper divisors (486747704).

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

343410100 is a wasteful number, since it uses less digits than its factorization.

343410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 343410100 is about 18531.3275293488. The cubic root of 343410100 is about 700.2788684805.

Adding to 343410100 its reverse (1014343), we get a palindrome (344424443).

The spelling of 343410100 in words is "three hundred forty-three million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 121 202 220 242 275 281 404 484 505 550 562 605 1010 1100 1111 1124 1210 1405 2020 2222 2420 2525 2810 3025 3091 4444 5050 5555 5620 6050 6182 7025 10100 11110 12100 12221 12364 14050 15455 22220 24442 27775 28100 28381 30910 34001 48884 55550 56762 61105 61820 68002 77275 111100 113524 122210 136004 141905 154550 170005 244420 283810 305525 309100 312191 340010 567620 611050 624382 680020 709525 850025 1222100 1248764 1419050 1560955 1700050 2838100 3121910 3400100 3434101 6243820 6868202 7804775 13736404 15609550 17170505 31219100 34341010 68682020 85852525 171705050 343410100