Search a number
-
+
345229848 = 233219733457
BaseRepresentation
bin10100100100111…
…100101000011000
3220001121111022200
4110210330220120
51201334323343
654131250200
711361256005
oct2444745030
9801544280
10345229848
11167967327
1297749960
13566a5c22
1433bc88ac
15204954d3
hex1493ca18

345229848 has 96 divisors (see below), whose sum is σ = 997978800. Its totient is φ = 107495424.

The previous prime is 345229847. The next prime is 345229861. The reversal of 345229848 is 848922543.

345229848 is a `hidden beast` number, since 34 + 522 + 98 + 4 + 8 = 666.

345229848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345229847) 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, 98136 + ... + 101592.

Almost surely, 2345229848 is an apocalyptic number.

345229848 is a gapful number since it is divisible by the number (38) 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 345229848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498989400).

345229848 is an abundant number, since it is smaller than the sum of its proper divisors (652748952).

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

345229848 is a wasteful number, since it uses less digits than its factorization.

345229848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3554 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 345229848 is about 18580.3618909859. The cubic root of 345229848 is about 701.5136280852.

The spelling of 345229848 in words is "three hundred forty-five million, two hundred twenty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 73 76 114 146 152 171 219 228 292 342 438 456 584 657 684 876 1314 1368 1387 1752 2628 2774 3457 4161 5256 5548 6914 8322 10371 11096 12483 13828 16644 20742 24966 27656 31113 33288 41484 49932 62226 65683 82968 99864 124452 131366 197049 248904 252361 262732 394098 504722 525464 591147 757083 788196 1009444 1182294 1514166 1576392 2018888 2271249 2364588 3028332 4542498 4729176 4794859 6056664 9084996 9589718 14384577 18169992 19179436 28769154 38358872 43153731 57538308 86307462 115076616 172614924 345229848