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345229392 = 243193112211
BaseRepresentation
bin10100100100111…
…100100001010000
3220001121110200210
4110210330201100
51201334320032
654131244120
711361254454
oct2444744120
9801543623
10345229392
11167966a52
1297749640
13566a5961
1433bc8664
15204952cc
hex1493c850

345229392 has 80 divisors (see below), whose sum is σ = 969144320. Its totient is φ = 105494400.

The previous prime is 345229363. The next prime is 345229397. The reversal of 345229392 is 293922543.

It is a self number, because there is not a number n which added to its sum of digits gives 345229392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345229397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22167 + ... + 34377.

It is an arithmetic number, because the mean of its divisors is an integer number (12114304).

Almost surely, 2345229392 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 345229392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484572160).

345229392 is an abundant number, since it is smaller than the sum of its proper divisors (623914928).

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

345229392 is a wasteful number, since it uses less digits than its factorization.

345229392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12266 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 345229392 is about 18580.3496199614. The cubic root of 345229392 is about 701.5133192181.

The spelling of 345229392 in words is "three hundred forty-five million, two hundred twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 9424 12211 14136 24422 28272 36633 48844 73266 97688 146532 195376 232009 293064 378541 464018 586128 696027 757082 928036 1135623 1392054 1514164 1856072 2271246 2784108 3028328 3712144 4542492 5568216 6056656 7192279 9084984 11136432 14384558 18169968 21576837 28769116 43153674 57538232 86307348 115076464 172614696 345229392