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3230144000 = 2953411231
BaseRepresentation
bin1100000010001000…
…0001011000000000
322100010002022112222
43000202001120000
523103404102000
61252305110212
7143021525306
oct30042013000
98303068488
103230144000
111408371aa6
12761928368
133c6294215
14228dd4276
1513d8a4a85
hexc0881600

3230144000 has 160 divisors (see below), whose sum is σ = 8257721472. Its totient is φ = 1259520000.

The previous prime is 3230143957. The next prime is 3230144009. The reversal of 3230144000 is 4410323.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 3230144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230144009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623385 + ... + 2624615.

Almost surely, 23230144000 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 3230144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128860736).

3230144000 is an abundant number, since it is smaller than the sum of its proper divisors (5027577472).

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

3230144000 is an equidigital number, since it uses as much as digits as its factorization.

3230144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3230144000 is about 56834.3558070293. The cubic root of 3230144000 is about 1478.2252893497.

Adding to 3230144000 its reverse (4410323), we get a palindrome (3234554323).

The spelling of 3230144000 in words is "three billion, two hundred thirty million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 256 320 328 400 410 500 512 640 656 800 820 1000 1025 1231 1280 1312 1600 1640 2000 2050 2462 2560 2624 3200 3280 4000 4100 4924 5125 5248 6155 6400 6560 8000 8200 9848 10250 10496 12310 12800 13120 16000 16400 19696 20500 20992 24620 26240 30775 32000 32800 39392 41000 49240 50471 52480 61550 64000 65600 78784 82000 98480 100942 104960 123100 131200 153875 157568 164000 196960 201884 246200 252355 262400 307750 315136 328000 393920 403768 492400 504710 524800 615500 630272 656000 787840 807536 984800 1009420 1231000 1261775 1312000 1575680 1615072 1969600 2018840 2462000 2523550 2624000 3151360 3230144 3939200 4037680 4924000 5047100 6308875 6460288 7878400 8075360 9848000 10094200 12617750 12920576 15756800 16150720 19696000 20188400 25235500 25841152 32301440 39392000 40376800 50471000 64602880 78784000 80753600 100942000 129205760 161507200 201884000 323014400 403768000 646028800 807536000 1615072000 3230144000