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343614020 = 225231814127
BaseRepresentation
bin10100011110110…
…010001001000100
3212221120101211012
4110132302021010
51200431122040
654032501352
711341446101
oct2436621104
9787511735
10343614020
11166a63332
12970aa858
135625b609
14338c7aa8
1520276865
hex147b2244

343614020 has 48 divisors (see below), whose sum is σ = 757306368. Its totient is φ = 130711680.

The previous prime is 343613981. The next prime is 343614091. The reversal of 343614020 is 20416343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81197 + ... + 85323.

It is an arithmetic number, because the mean of its divisors is an integer number (15777216).

Almost surely, 2343614020 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 343614020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378653184).

343614020 is an abundant number, since it is smaller than the sum of its proper divisors (413692348).

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

343614020 is a wasteful number, since it uses less digits than its factorization.

343614020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 343614020 is about 18536.8287471185. The cubic root of 343614020 is about 700.4174516795.

The spelling of 343614020 in words is "three hundred forty-three million, six hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 181 230 362 460 724 905 1810 3620 4127 4163 8254 8326 16508 16652 20635 20815 41270 41630 82540 83260 94921 189842 379684 474605 746987 949210 1493974 1898420 2987948 3734935 7469870 14939740 17180701 34361402 68722804 85903505 171807010 343614020