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345400384 = 2672333521
BaseRepresentation
bin10100100101100…
…110010001000000
3220001221011020211
4110211212101000
51201410303014
654135043504
711362566130
oct2445462100
9801834224
10345400384
11167a7346a
1297810594
1356735734
1433c30ac0
15204cacc4
hex14966440

345400384 has 56 divisors (see below), whose sum is σ = 817400448. Its totient is φ = 141588480.

The previous prime is 345400379. The next prime is 345400457. The reversal of 345400384 is 483004543.

345400384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6457 + ... + 27064.

Almost surely, 2345400384 is an apocalyptic number.

It is an amenable number.

345400384 is an abundant number, since it is smaller than the sum of its proper divisors (472000064).

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

345400384 is a wasteful number, since it uses less digits than its factorization.

345400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33563 (or 33553 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 345400384 is about 18584.9504707438. The cubic root of 345400384 is about 701.6291198708.

The spelling of 345400384 in words is "three hundred forty-five million, four hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 33521 67042 134084 234647 268168 469294 536336 770983 938588 1072672 1541966 1877176 2145344 3083932 3754352 5396881 6167864 7508704 10793762 12335728 15017408 21587524 24671456 43175048 49342912 86350096 172700192 345400384