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343355303020140 = 223354314787050087
BaseRepresentation
bin100111000010001111010001…
…0110111100100011001101100
31200000201110001102110102001000
41032010132202313210121230
5330001013130033121030
63214131125412520300
7132215413330612245
oct11604364267443154
91600643042412030
10343355303020140
119a449191334094
1232614684320090
131197835c944018
1460b06b1a99ccc
1529a66d5683860
hex13847a2de466c

343355303020140 has 96 divisors (see below), whose sum is σ = 1093058742504960. Its totient is φ = 89432078920128.

The previous prime is 343355303020117. The next prime is 343355303020153. The reversal of 343355303020140 is 41020303553343.

343355303020140 is a `hidden beast` number, since 3 + 4 + 3 + 35 + 530 + 30 + 20 + 1 + 40 = 666.

It is a super-2 number, since 2×3433553030201402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 343355303020095 and 343355303020104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7393501824 + ... + 7393548263.

It is an arithmetic number, because the mean of its divisors is an integer number (11386028567760).

Almost surely, 2343355303020140 is an apocalyptic number.

343355303020140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343355303020140 is an abundant number, since it is smaller than the sum of its proper divisors (749703439484820).

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

343355303020140 is a wasteful number, since it uses less digits than its factorization.

343355303020140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787050148 (or 14787050140 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 343355303020140 its reverse (41020303553343), we get a palindrome (384375606573483).

The spelling of 343355303020140 in words is "three hundred forty-three trillion, three hundred fifty-five billion, three hundred three million, twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 7740 11610 23220 14787050087 29574100174 44361150261 59148200348 73935250435 88722300522 133083450783 147870500870 177444601044 221805751305 266166901566 295741001740 399250352349 443611502610 532333803132 635843153741 665417253915 798500704698 887223005220 1271686307482 1330834507830 1597001409396 1907529461223 1996251761745 2543372614964 2661669015660 3179215768705 3815058922446 3992503523490 5722588383669 6358431537410 7630117844892 7985007046980 9537647306115 11445176767338 12716863074820 17167765151007 19075294612230 22890353534676 28612941918345 34335530302014 38150589224460 57225883836690 68671060604028 85838825755035 114451767673380 171677651510070 343355303020140