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340328448 = 21632577
BaseRepresentation
bin10100010010010…
…000000000000000
3212201101110212100
4110102100000000
51144111002243
653434230400
711301513135
oct2422200000
9781343770
10340328448
11165119889
1295b85400
135567aca5
14332b058c
151ed280d3
hex14490000

340328448 has 102 divisors (see below), whose sum is σ = 984867494. Its totient is φ = 113246208.

The previous prime is 340328431. The next prime is 340328453. The reversal of 340328448 is 844823043.

It can be written as a sum of positive squares in only one way, i.e., 339738624 + 589824 = 18432^2 + 768^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589536 + ... + 590112.

Almost surely, 2340328448 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 340328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492433747).

340328448 is an abundant number, since it is smaller than the sum of its proper divisors (644539046).

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

340328448 is an frugal number, since it uses more digits than its factorization.

340328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 340328448 is about 18447.9930615772. The cubic root of 340328448 is about 698.1778787657.

The spelling of 340328448 in words is "three hundred forty million, three hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 577 768 1024 1152 1154 1536 1731 2048 2304 2308 3072 3462 4096 4608 4616 5193 6144 6924 8192 9216 9232 10386 12288 13848 16384 18432 18464 20772 24576 27696 32768 36864 36928 41544 49152 55392 65536 73728 73856 83088 98304 110784 147456 147712 166176 196608 221568 294912 295424 332352 443136 589824 590848 664704 886272 1181696 1329408 1772544 2363392 2658816 3545088 4726784 5317632 7090176 9453568 10635264 14180352 18907136 21270528 28360704 37814272 42541056 56721408 85082112 113442816 170164224 340328448