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345455400 = 233522325033
BaseRepresentation
bin10100100101110…
…011101100101000
3220002000221201110
4110211303230220
51201414033100
654140150320
711363215413
oct2445635450
9802027643
10345455400
11168000834
12978383a0
13567547a4
1433c46b7a
15204dc250
hex14973b28

345455400 has 96 divisors (see below), whose sum is σ = 1117517760. Its totient is φ = 88112640.

The previous prime is 345455393. The next prime is 345455437. The reversal of 345455400 is 4554543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284 + ... + 26316.

It is an arithmetic number, because the mean of its divisors is an integer number (11640810).

Almost surely, 2345455400 is an apocalyptic number.

345455400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558758880).

345455400 is an abundant number, since it is smaller than the sum of its proper divisors (772062360).

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

345455400 is a wasteful number, since it uses less digits than its factorization.

345455400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25075 (or 25066 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 345455400 is about 18586.4305341289. The cubic root of 345455400 is about 701.6663701462. Note that the first 3 decimals are identical.

The spelling of 345455400 in words is "three hundred forty-five million, four hundred fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 25033 50066 75099 100132 125165 150198 200264 250330 300396 375495 500660 575759 600792 625825 750990 1001320 1151518 1251650 1501980 1727277 1877475 2303036 2503300 2878795 3003960 3454554 3754950 4606072 5006600 5757590 6909108 7509900 8636385 11515180 13818216 14393975 15019800 17272770 23030360 28787950 34545540 43181925 57575900 69091080 86363850 115151800 172727700 345455400