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345912448 = 2771572459
BaseRepresentation
bin10100100111100…
…011010010000000
3220002220011200011
4110213203102000
51202023144243
654154034304
711400131050
oct2447432200
9802804604
10345912448
11168293162
1297a18994
135688482b
1433d25560
152057c89d
hex149e3480

345912448 has 64 divisors (see below), whose sum is σ = 792907200. Its totient is φ = 147244032.

The previous prime is 345912439. The next prime is 345912451. The reversal of 345912448 is 844219543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 345912448.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 139443 + ... + 141901.

It is an arithmetic number, because the mean of its divisors is an integer number (12389175).

Almost surely, 2345912448 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 345912448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396453600).

345912448 is an abundant number, since it is smaller than the sum of its proper divisors (446994752).

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

345912448 is a wasteful number, since it uses less digits than its factorization.

345912448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2625 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 345912448 is about 18598.7216765024. The cubic root of 345912448 is about 701.9756757615.

The spelling of 345912448 in words is "three hundred forty-five million, nine hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 314 448 628 896 1099 1256 2198 2459 2512 4396 4918 5024 8792 9836 10048 17213 17584 19672 20096 34426 35168 39344 68852 70336 78688 137704 140672 157376 275408 314752 386063 550816 772126 1101632 1544252 2203264 2702441 3088504 5404882 6177008 10809764 12354016 21619528 24708032 43239056 49416064 86478112 172956224 345912448