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348021383808 = 2737538124061
BaseRepresentation
bin1010001000001111011…
…00001110001010000000
31020021022012122002012210
411010013230032022000
521200221433240213
6423513454022120
734100202644640
oct5040754161200
91207265562183
10348021383808
1112465aaa875a
12575477a7940
1326a839a0507
1412bb6b82520
1590bd4b70c3
hex5107b0e280

348021383808 has 128 divisors (see below), whose sum is σ = 1056733741440. Its totient is φ = 99412070400.

The previous prime is 348021383789. The next prime is 348021383813. The reversal of 348021383808 is 808383120843.

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

It is a super-2 number, since 2×3480213838082 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 14452098 + ... + 14476158.

It is an arithmetic number, because the mean of its divisors is an integer number (8255732355).

Almost surely, 2348021383808 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 348021383808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528366870720).

348021383808 is an abundant number, since it is smaller than the sum of its proper divisors (708712357632).

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

348021383808 is a wasteful number, since it uses less digits than its factorization.

348021383808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29466 (or 29454 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 348021383808 in words is "three hundred forty-eight billion, twenty-one million, three hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5381 10762 16143 21524 24061 32286 37667 43048 48122 64572 72183 75334 86096 96244 113001 129144 144366 150668 168427 172192 192488 226002 258288 288732 301336 336854 344384 384976 452004 505281 516576 577464 602672 673708 688768 769952 904008 1010562 1033152 1154928 1205344 1347416 1539904 1808016 2021124 2066304 2309856 2410688 2694832 3079808 3616032 4042248 4619712 4821376 5389664 7232064 8084496 9239424 10779328 14464128 16168992 21558656 32337984 64675968 129472241 258944482 388416723 517888964 776833446 906305687 1035777928 1553666892 1812611374 2071555856 2718917061 3107333784 3625222748 4143111712 5437834122 6214667568 7250445496 8286223424 10875668244 12429335136 14500890992 16572446848 21751336488 24858670272 29001781984 43502672976 49717340544 58003563968 87005345952 116007127936 174010691904 348021383808