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3412202342304 = 253721117649403
BaseRepresentation
bin110001101001110111000…
…110111100011110100000
3110002012111020200212020210
4301221313012330132200
5421401142244423204
611131313310134120
7501344361233100
oct61516706743640
913065436625223
103412202342304
1110a611a2a2498
124713837b1340
131b9a001ca222
14bb219909200
155db5c52b389
hex31a771bc7a0

3412202342304 has 144 divisors (see below), whose sum is σ = 10428747664608. Its totient is φ = 974040657408.

The previous prime is 3412202342291. The next prime is 3412202342369. The reversal of 3412202342304 is 4032432022143.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4929667 + ... + 5579069.

It is an arithmetic number, because the mean of its divisors is an integer number (72421858782).

Almost surely, 23412202342304 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 3412202342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214373832304).

3412202342304 is an abundant number, since it is smaller than the sum of its proper divisors (7016545322304).

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

3412202342304 is a wasteful number, since it uses less digits than its factorization.

3412202342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650547 (or 650532 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3412202342304 its reverse (4032432022143), we get a palindrome (7444634364447).

The spelling of 3412202342304 in words is "three trillion, four hundred twelve billion, two hundred two million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1117 1176 1568 2234 2352 3351 4468 4704 6702 7819 8936 13404 15638 17872 23457 26808 31276 35744 46914 53616 54733 62552 93828 107232 109466 125104 164199 187656 218932 250208 328398 375312 437864 649403 656796 750624 875728 1298806 1313592 1751456 1948209 2597612 2627184 3896418 4545821 5195224 5254368 7792836 9091642 10390448 13637463 15585672 18183284 20780896 27274926 31171344 31820747 36366568 54549852 62342688 63641494 72733136 95462241 109099704 127282988 145466272 190924482 218199408 254565976 381848964 436398816 509131952 725383151 763697928 1018263904 1450766302 1527395856 2176149453 2901532604 3054791712 4352298906 5077682057 5803065208 8704597812 10155364114 11606130416 15233046171 17409195624 20310728228 23212260832 30466092342 34818391248 35543774399 40621456456 60932184684 69636782496 71087548798 81242912912 106631323197 121864369368 142175097596 162485825824 213262646394 243728738736 284350195192 426525292788 487457477472 568700390384 853050585576 1137400780768 1706101171152 3412202342304