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3423130240 = 27543173719
BaseRepresentation
bin1100110000001000…
…1101001010000000
322211120020000220111
43030002031022000
524002310131430
61323401321104
7150554061355
oct31402151200
98746200814
103423130240
1114a72a4462
127b6496194
13427263c6a
142468ac62c
151507c5c2a
hexcc08d280

3423130240 has 128 divisors (see below), whose sum is σ = 8433849600. Its totient is φ = 1327828992.

The previous prime is 3423130223. The next prime is 3423130241. The reversal of 3423130240 is 420313243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3423130241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4760601 + ... + 4761319.

It is an arithmetic number, because the mean of its divisors is an integer number (65889450).

Almost surely, 23423130240 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 3423130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216924800).

3423130240 is an abundant number, since it is smaller than the sum of its proper divisors (5010719360).

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

3423130240 is a wasteful number, since it uses less digits than its factorization.

3423130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3423130240 is about 58507.5229350893. The cubic root of 3423130240 is about 1507.0967768135.

Adding to 3423130240 its reverse (420313243), we get a palindrome (3843443483).

The spelling of 3423130240 in words is "three billion, four hundred twenty-three million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 173 215 320 344 346 430 640 688 692 719 860 865 1376 1384 1438 1720 1730 2752 2768 2876 3440 3460 3595 5504 5536 5752 6880 6920 7190 7439 11072 11504 13760 13840 14380 14878 22144 23008 27520 27680 28760 29756 30917 37195 46016 55360 57520 59512 61834 74390 92032 110720 115040 119024 123668 124387 148780 154585 230080 238048 247336 248774 297560 309170 460160 476096 494672 497548 595120 618340 621935 952192 989344 995096 1190240 1236680 1243870 1978688 1990192 2380480 2473360 2487740 3957376 3980384 4760960 4946720 4975480 5348641 7960768 9893440 9950960 10697282 15921536 19786880 19901920 21394564 26743205 39803840 42789128 53486410 79607680 85578256 106972820 171156512 213945640 342313024 427891280 684626048 855782560 1711565120 3423130240