Search a number
-
+
341705400 = 233521374157
BaseRepresentation
bin10100010111100…
…000001010111000
3212210222102200120
4110113200022320
51144434033100
653523533240
711316306441
oct2427401270
9783872616
10341705400
1116597a363
129652a220
1355a4095a
143354c2c8
151eeeb0a0
hex145e02b8

341705400 has 96 divisors (see below), whose sum is σ = 1067275440. Its totient is φ = 90434560.

The previous prime is 341705393. The next prime is 341705407. The reversal of 341705400 is 4507143.

It is an interprime number because it is at equal distance from previous prime (341705393) and next prime (341705407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341705407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80122 + ... + 84278.

Almost surely, 2341705400 is an apocalyptic number.

341705400 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 341705400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533637720).

341705400 is an abundant number, since it is smaller than the sum of its proper divisors (725570040).

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

341705400 is a wasteful number, since it uses less digits than its factorization.

341705400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 341705400 is about 18485.2752211050. The cubic root of 341705400 is about 699.1182094019.

The spelling of 341705400 in words is "three hundred forty-one million, seven hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 137 150 200 274 300 411 548 600 685 822 1096 1370 1644 2055 2740 3288 3425 4110 4157 5480 6850 8220 8314 10275 12471 13700 16440 16628 20550 20785 24942 27400 33256 41100 41570 49884 62355 82200 83140 99768 103925 124710 166280 207850 249420 311775 415700 498840 569509 623550 831400 1139018 1247100 1708527 2278036 2494200 2847545 3417054 4556072 5695090 6834108 8542635 11390180 13668216 14237725 17085270 22780360 28475450 34170540 42713175 56950900 68341080 85426350 113901800 170852700 341705400