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3823280840 = 235312791259
BaseRepresentation
bin1110001111100010…
…1010001011001000
3100212110011210100002
43203320222023020
530312224441330
61431214102132
7163513231241
oct34370521310
910773153302
103823280840
111692162535
128a84aa948
1348c128c72
14283ab1cc8
151759b8e45
hexe3e2a2c8

3823280840 has 96 divisors (see below), whose sum is σ = 9008496000. Its totient is φ = 1460085120.

The previous prime is 3823280717. The next prime is 3823280843. The reversal of 3823280840 is 480823283.

It is a super-2 number, since 2×38232808402 = 29234952763022211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3823280794 and 3823280803.

It is not an unprimeable number, because it can be changed into a prime (3823280843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3036131 + ... + 3037389.

It is an arithmetic number, because the mean of its divisors is an integer number (93838500).

Almost surely, 23823280840 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 3823280840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504248000).

3823280840 is an abundant number, since it is smaller than the sum of its proper divisors (5185215160).

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

3823280840 is a wasteful number, since it uses less digits than its factorization.

3823280840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 3823280840 is about 61832.6842373837. The cubic root of 3823280840 is about 1563.6710661087.

The spelling of 3823280840 in words is "three billion, eight hundred twenty-three million, two hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 155 158 248 310 316 395 620 632 790 961 1240 1259 1580 1922 2449 2518 3160 3844 4805 4898 5036 6295 7688 9610 9796 10072 12245 12590 19220 19592 24490 25180 38440 39029 48980 50360 75919 78058 97960 99461 151838 156116 195145 198922 303676 312232 379595 390290 397844 497305 607352 759190 780580 795688 994610 1209899 1518380 1561160 1989220 2419798 3036760 3083291 3978440 4839596 6049495 6166582 9679192 12098990 12333164 15416455 24197980 24666328 30832910 48395960 61665820 95582021 123331640 191164042 382328084 477910105 764656168 955820210 1911640420 3823280840