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3102343040 = 27523419503
BaseRepresentation
bin1011100011101001…
…1111111110000000
322000012121100121002
42320322133332000
522323144434130
61231501551132
7136610323616
oct27072377600
98005540532
103102343040
111352212275
12726b754a8
133a5968654
142160476b6
1513255cb45
hexb8e9ff80

3102343040 has 128 divisors (see below), whose sum is σ = 7772889600. Its totient is φ = 1181796352.

The previous prime is 3102343037. The next prime is 3102343051. The reversal of 3102343040 is 403432013.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6167429 + ... + 6167931.

It is an arithmetic number, because the mean of its divisors is an integer number (60725700).

Almost surely, 23102343040 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 3102343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886444800).

3102343040 is an abundant number, since it is smaller than the sum of its proper divisors (4670546560).

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

3102343040 is a wasteful number, since it uses less digits than its factorization.

3102343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3102343040 is about 55698.6807743236. The cubic root of 3102343040 is about 1458.4669966485.

Adding to 3102343040 its reverse (403432013), we get a palindrome (3505775053).

The spelling of 3102343040 in words is "three billion, one hundred two million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 419 460 503 640 736 838 920 1006 1472 1676 1840 2012 2095 2515 2944 3352 3680 4024 4190 5030 6704 7360 8048 8380 9637 10060 11569 13408 14720 16096 16760 19274 20120 23138 26816 32192 33520 38548 40240 46276 48185 53632 57845 64384 67040 77096 80480 92552 96370 115690 134080 154192 160960 185104 192740 210757 231380 268160 308384 321920 370208 385480 421514 462760 616768 740416 770960 843028 925520 1053785 1233536 1480832 1541920 1686056 1851040 2107570 3083840 3372112 3702080 4215140 4847411 6167680 6744224 7404160 8430280 9694822 13488448 16860560 19389644 24237055 26976896 33721120 38779288 48474110 67442240 77558576 96948220 134884480 155117152 193896440 310234304 387792880 620468608 775585760 1551171520 3102343040