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341114240 = 2752918379
BaseRepresentation
bin10100010101001…
…111110110000000
3212202212101202202
4110111033312000
51144311123430
653503132332
711311265105
oct2425176600
9782771682
10341114240
111656061a5
12962a40a8
135589485c
1433436aac
151ee30d45
hex1454fd80

341114240 has 64 divisors (see below), whose sum is σ = 843642000. Its totient is φ = 131733504.

The previous prime is 341114237. The next prime is 341114303. The reversal of 341114240 is 42411143.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9371 + ... + 27749.

Almost surely, 2341114240 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 341114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421821000).

341114240 is an abundant number, since it is smaller than the sum of its proper divisors (502527760).

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

341114240 is a wasteful number, since it uses less digits than its factorization.

341114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18427 (or 18415 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 341114240 is about 18469.2782750166. The cubic root of 341114240 is about 698.7148119287.

Adding to 341114240 its reverse (42411143), we get a palindrome (383525383).

It can be divided in two parts, 34 and 1114240, that multiplied together give a triangular number (37884160 = T8704).

The spelling of 341114240 in words is "three hundred forty-one million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18379 18560 36758 73516 91895 147032 183790 294064 367580 532991 588128 735160 1065982 1176256 1470320 2131964 2352512 2664955 2940640 4263928 5329910 5881280 8527856 10659820 11762560 17055712 21319640 34111424 42639280 68222848 85278560 170557120 341114240