Search a number
-
+
345480192 = 21032191973
BaseRepresentation
bin10100100101111…
…001110000000000
3220002002012201200
4110211321300000
51201420331232
654140501200
711363350611
oct2445716000
9802065650
10345480192
11168018422
129784a800
1356762b65
1433c51c08
15204e477c
hex14979c00

345480192 has 132 divisors (see below), whose sum is σ = 1050602280. Its totient is φ = 109043712.

The previous prime is 345480167. The next prime is 345480199. The reversal of 345480192 is 291084543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345480199) 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 11 ways as a sum of consecutive naturals, for example, 174118 + ... + 176090.

Almost surely, 2345480192 is an apocalyptic number.

345480192 is a gapful number since it is divisible by the number (32) 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 345480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525301140).

345480192 is an abundant number, since it is smaller than the sum of its proper divisors (705122088).

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

345480192 is a wasteful number, since it uses less digits than its factorization.

345480192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 345480192 is about 18587.0974603352. The cubic root of 345480192 is about 701.6831550400.

The spelling of 345480192 in words is "three hundred forty-five million, four hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 1973 2304 2432 2736 3072 3648 3946 4608 4864 5472 5919 7296 7892 9216 9728 10944 11838 14592 15784 17757 19456 21888 23676 29184 31568 35514 37487 43776 47352 58368 63136 71028 74974 87552 94704 112461 126272 142056 149948 175104 189408 224922 252544 284112 299896 337383 378816 449844 505088 568224 599792 674766 757632 899688 1010176 1136448 1199584 1349532 1515264 1799376 2020352 2272896 2399168 2699064 3030528 3598752 4545792 4798336 5398128 6061056 7197504 9091584 9596672 10796256 14395008 18183168 19193344 21592512 28790016 38386688 43185024 57580032 86370048 115160064 172740096 345480192