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345354152 = 2311133741199
BaseRepresentation
bin10100100101011…
…010111110101000
3220001211210211112
4110211122332220
51201402313102
654134045452
711362314263
oct2445327650
9801753745
10345354152
11167a41760
12977a9888
135671a690
1433c1bcda
15204bc252
hex1495afa8

345354152 has 128 divisors (see below), whose sum is σ = 804384000. Its totient is φ = 136857600.

The previous prime is 345354083. The next prime is 345354173. The reversal of 345354152 is 251453543.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1735349 + ... + 1735547.

It is an arithmetic number, because the mean of its divisors is an integer number (6284250).

Almost surely, 2345354152 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 345354152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402192000).

345354152 is an abundant number, since it is smaller than the sum of its proper divisors (459029848).

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

345354152 is a wasteful number, since it uses less digits than its factorization.

345354152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its digits is 36000, while the sum is 32.

The square root of 345354152 is about 18583.7066270429. The cubic root of 345354152 is about 701.5978140140.

The spelling of 345354152 in words is "three hundred forty-five million, three hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 37 41 44 52 74 82 88 104 143 148 164 199 286 296 328 398 407 451 481 533 572 796 814 902 962 1066 1144 1517 1592 1628 1804 1924 2132 2189 2587 3034 3256 3608 3848 4264 4378 5174 5291 5863 6068 7363 8159 8756 10348 10582 11726 12136 14726 16318 16687 17512 19721 20696 21164 23452 28457 29452 32636 33374 39442 42328 46904 56914 58904 65272 66748 78884 80993 89749 95719 106067 113828 133496 157768 161986 179498 191438 212134 216931 227656 301883 323972 358996 382876 424268 433862 603766 647944 717992 765752 848536 867724 1052909 1166737 1207532 1735448 2105818 2333474 2415064 3320713 3924479 4211636 4666948 6641426 7848958 8423272 9333896 13282852 15697916 26565704 31395832 43169269 86338538 172677076 345354152