Search a number
-
+
348278340900 = 223527433856903
BaseRepresentation
bin1010001000101110000…
…00011011110100100100
31020021222010010212002010
411010113000123310210
521201233223402100
6423555153314220
734106443023660
oct5042700336444
91207863125063
10348278340900
11124782053396
12575b9865970
1326ac4caa729
1412bdcd4d8a0
1590d5d22750
hex511701bd24

348278340900 has 144 divisors (see below), whose sum is σ = 1178423020544. Its totient is φ = 77755144320.

The previous prime is 348278340899. The next prime is 348278340911. The reversal of 348278340900 is 9043872843.

It is a super-2 number, since 2×3482783409002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 348278340900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1838152 + ... + 2018751.

Almost surely, 2348278340900 is an apocalyptic number.

348278340900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348278340900 is an abundant number, since it is smaller than the sum of its proper divisors (830144679644).

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

348278340900 is a wasteful number, since it uses less digits than its factorization.

348278340900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856970 (or 3856963 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 348278340900 in words is "three hundred forty-eight billion, two hundred seventy-eight million, three hundred forty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 12900 15050 18060 22575 30100 45150 90300 3856903 7713806 11570709 15427612 19284515 23141418 26998321 38569030 46282836 53996642 57853545 77138060 80994963 96422575 107993284 115707090 134991605 161989926 165846829 192845150 231414180 269983210 289267725 323979852 331693658 385690300 404974815 497540487 539966420 578535450 663387316 674958025 809949630 829234145 995080974 1157070900 1160927803 1349916050 1619899260 1658468290 1990161948 2024874075 2321855606 2487702435 2699832100 3316936580 3482783409 4049748150 4146170725 4643711212 4975404870 5804639015 6965566818 8099496300 8292341450 9950809740 11609278030 12438512175 13931133636 16584682900 17413917045 23218556060 24877024350 29023195075 34827834090 49754048700 58046390150 69655668180 87069585225 116092780300 174139170450 348278340900