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340201400 = 235271122091
BaseRepresentation
bin10100010001110…
…000111110111000
3212201011000120212
4110101300332320
51144042421100
653431410252
711300443550
oct2421607670
9781130525
10340201400
11165042390
1295b23988
1355635206
143327a160
151ed00635
hex14470fb8

340201400 has 96 divisors (see below), whose sum is σ = 986186880. Its totient is φ = 106032000.

The previous prime is 340201373. The next prime is 340201417. The reversal of 340201400 is 4102043.

340201400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 4355 + ... + 26445.

It is an arithmetic number, because the mean of its divisors is an integer number (10272780).

Almost surely, 2340201400 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 340201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493093440).

340201400 is an abundant number, since it is smaller than the sum of its proper divisors (645985480).

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

340201400 is a wasteful number, since it uses less digits than its factorization.

340201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22125 (or 22116 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 340201400 is about 18444.5493303577. The cubic root of 340201400 is about 698.0909890333.

Adding to 340201400 its reverse (4102043), we get a palindrome (344303443).

The spelling of 340201400 in words is "three hundred forty million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 22091 44182 88364 110455 154637 176728 220910 243001 309274 441820 486002 552275 618548 773185 883640 972004 1104550 1215005 1237096 1546370 1701007 1944008 2209100 2430010 3092740 3402014 3865925 4418200 4860020 6075025 6185480 6804028 7731850 8505035 9720040 12150050 13608056 15463700 17010070 24300100 30927400 34020140 42525175 48600200 68040280 85050350 170100700 340201400