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345268700 = 225272312273
BaseRepresentation
bin10100100101000…
…110000111011100
3220001200110121122
4110211012013130
51201342044300
654132150112
711361510200
oct2445060734
9801613548
10345268700
11167993537
1297768338
13566ba80a
1433bd8b00
15204a1c85
hex149461dc

345268700 has 108 divisors (see below), whose sum is σ = 900067392. Its totient is φ = 114508800.

The previous prime is 345268697. The next prime is 345268711. The reversal of 345268700 is 7862543.

It is a happy number.

345268700 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 (35).

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 35 ways as a sum of consecutive naturals, for example, 150764 + ... + 153036.

Almost surely, 2345268700 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 345268700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450033696).

345268700 is an abundant number, since it is smaller than the sum of its proper divisors (554798692).

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

345268700 is a wasteful number, since it uses less digits than its factorization.

345268700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 345268700 is about 18581.4073740392. The cubic root of 345268700 is about 701.5399430994.

The spelling of 345268700 in words is "three hundred forty-five million, two hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 49 50 62 70 98 100 124 140 155 175 196 217 245 310 350 434 490 620 700 775 868 980 1085 1225 1519 1550 2170 2273 2450 3038 3100 4340 4546 4900 5425 6076 7595 9092 10850 11365 15190 15911 21700 22730 30380 31822 37975 45460 56825 63644 70463 75950 79555 111377 113650 140926 151900 159110 222754 227300 281852 318220 352315 397775 445508 493241 556885 704630 795550 986482 1113770 1409260 1591100 1761575 1972964 2227540 2466205 2784425 3452687 3523150 4932410 5568850 6905374 7046300 9864820 11137700 12331025 13810748 17263435 24662050 34526870 49324100 69053740 86317175 172634350 345268700