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341630346640 = 245111920432437
BaseRepresentation
bin1001111100010101100…
…00010110010110010000
31012122210210202202101111
410332022300112112100
521044124332043030
6420535351543104
733452630014342
oct4761260262620
91178723682344
10341630346640
11121980473960
125626338aa94
13262a58b090b
141276c063292
158d4738b62a
hex4f8ac16590

341630346640 has 80 divisors (see below), whose sum is σ = 912104032320. Its totient is φ = 117690831360.

The previous prime is 341630346619. The next prime is 341630346661. The reversal of 341630346640 is 46643036143.

It is an interprime number because it is at equal distance from previous prime (341630346619) and next prime (341630346661).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3416303466402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 341630346593 and 341630346602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10199499 + ... + 10232938.

It is an arithmetic number, because the mean of its divisors is an integer number (11401300404).

Almost surely, 2341630346640 is an apocalyptic number.

It is an amenable number.

341630346640 is an abundant number, since it is smaller than the sum of its proper divisors (570473685680).

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

341630346640 is a wasteful number, since it uses less digits than its factorization.

341630346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20432480 (or 20432474 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 341630346640 in words is "three hundred forty-one billion, six hundred thirty million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 20432437 40864874 81729748 102162185 163459496 204324370 224756807 326918992 388216303 408648740 449513614 776432606 817297480 899027228 1123784035 1552865212 1634594960 1798054456 1941081515 2247568070 3105730424 3596108912 3882163030 4270379333 4495136140 6211460848 7764326060 8540758666 8990272280 15528652120 17081517332 17980544560 21351896665 31057304240 34163034664 42703793330 68326069328 85407586660 170815173320 341630346640