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4002034320 = 243256191121
BaseRepresentation
bin1110111010001010…
…0011001010010000
3101022220112102000100
43232202203022100
531144010044240
61501041252400
7201113505354
oct35642431220
911286472010
104002034320
111774053689
12938334100
134ba18465b
1429d723464
15186527e30
hexee8a3290

4002034320 has 120 divisors (see below), whose sum is σ = 13660645752. Its totient is φ = 1049702400.

The previous prime is 4002034301. The next prime is 4002034321. The reversal of 4002034320 is 234302004.

4002034320 is a `hidden beast` number, since 400 + 203 + 43 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156050064 + 3845984256 = 12492^2 + 62016^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4002034293 and 4002034302.

It is not an unprimeable number, because it can be changed into a prime (4002034321) 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, 1641 + ... + 89480.

Almost surely, 24002034320 is an apocalyptic number.

4002034320 is a gapful number since it is divisible by the number (40) 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 4002034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830322876).

4002034320 is an abundant number, since it is smaller than the sum of its proper divisors (9658611432).

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

4002034320 is a wasteful number, since it uses less digits than its factorization.

4002034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91201 (or 91192 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4002034320 is about 63261.6338707751. The cubic root of 4002034320 is about 1587.6701131693.

Adding to 4002034320 its reverse (234302004), we get a palindrome (4236336324).

The spelling of 4002034320 in words is "four billion, two million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 43920 91121 182242 273363 364484 455605 546726 728968 820089 911210 1093452 1366815 1457936 1640178 1822420 2186904 2733630 3280356 3644840 4100445 4373808 5467260 5558381 6560712 7289680 8200890 10934520 11116762 13121424 16401780 16675143 21869040 22233524 27791905 32803560 33350286 44467048 50025429 55583810 65607120 66700572 83375715 88934096 100050858 111167620 133401144 166751430 200101716 222335240 250127145 266802288 333502860 400203432 444670480 500254290 667005720 800406864 1000508580 1334011440 2001017160 4002034320