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345362276 = 2271729127197
BaseRepresentation
bin10100100101011…
…100111101100100
3220001212012222102
4110211130331210
51201403043101
654134151232
711362350050
oct2445347544
9801765872
10345362276
11167a47876
12977b2518
135672129c
1433c20c60
15204be86b
hex1495cf64

345362276 has 96 divisors (see below), whose sum is σ = 766402560. Its totient is φ = 132765696.

The previous prime is 345362267. The next prime is 345362279. The reversal of 345362276 is 672263543.

345362276 = 1242 + 1252 + ... + 10122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345362279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1753010 + ... + 1753206.

It is an arithmetic number, because the mean of its divisors is an integer number (7983360).

Almost surely, 2345362276 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 345362276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383201280).

345362276 is an abundant number, since it is smaller than the sum of its proper divisors (421040284).

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

345362276 is a wasteful number, since it uses less digits than its factorization.

345362276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its digits is 181440, while the sum is 38.

The square root of 345362276 is about 18583.9252043265. The cubic root of 345362276 is about 701.6033153580.

The spelling of 345362276 in words is "three hundred forty-five million, three hundred sixty-two thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 116 119 127 197 203 238 254 394 406 476 493 508 788 812 889 986 1379 1778 1972 2159 2758 3349 3451 3556 3683 4318 5516 5713 6698 6902 7366 8636 11426 13396 13804 14732 15113 22852 23443 25019 25781 30226 39991 46886 50038 51562 60452 62611 79982 93772 97121 100076 103124 125222 159964 175133 194242 250444 350266 388484 425323 438277 679847 700532 725551 850646 876554 1359694 1451102 1701292 1753108 2719388 2902204 2977261 5078857 5954522 10157714 11909044 12334367 20315428 24668734 49337468 86340569 172681138 345362276