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340863936 = 26371271997
BaseRepresentation
bin10100010100010…
…010101111000000
3212202101200102020
4110110102233000
51144230121221
653453521440
711306203260
oct2424225700
9782350366
10340863936
11165455136
12961a3280
135580794a
14333ad7a0
151edd1ac6
hex14512bc0

340863936 has 112 divisors (see below), whose sum is σ = 1039343616. Its totient is φ = 96574464.

The previous prime is 340863931. The next prime is 340863947. The reversal of 340863936 is 639368043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340863931) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 169690 + ... + 171686.

Almost surely, 2340863936 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 340863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519671808).

340863936 is an abundant number, since it is smaller than the sum of its proper divisors (698479680).

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

340863936 is a wasteful number, since it uses less digits than its factorization.

340863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 340863936 is about 18462.5008056872. The cubic root of 340863936 is about 698.5438683106.

The spelling of 340863936 in words is "three hundred forty million, eight hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 168 192 224 254 336 381 448 508 672 762 889 1016 1344 1524 1778 1997 2032 2667 3048 3556 3994 4064 5334 5991 6096 7112 7988 8128 10668 11982 12192 13979 14224 15976 21336 23964 24384 27958 28448 31952 41937 42672 47928 55916 56896 63904 83874 85344 95856 111832 127808 167748 170688 191712 223664 253619 335496 383424 447328 507238 670992 760857 894656 1014476 1341984 1521714 1775333 2028952 2683968 3043428 3550666 4057904 5325999 6086856 7101332 8115808 10651998 12173712 14202664 16231616 21303996 24347424 28405328 42607992 48694848 56810656 85215984 113621312 170431968 340863936