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368686700340 = 223578631017179
BaseRepresentation
bin1010101110101110111…
…00001001011100110100
31022020122102001221011120
411113113130021130310
522020032243402330
6441212231303540
735431254150120
oct5272734113464
91266572057146
10368686700340
111323a5037952
125b55451abb0
13289c816286a
1413bb7574580
1598cc853c10
hex55d7709734

368686700340 has 96 divisors (see below), whose sum is σ = 1181165690880. Its totient is φ = 84173513856.

The previous prime is 368686700293. The next prime is 368686700341. The reversal of 368686700340 is 43007686863.

It is a happy number.

It is a super-2 number, since 2×3686867003402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368686700341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146130 + ... + 871049.

It is an arithmetic number, because the mean of its divisors is an integer number (12303809280).

Almost surely, 2368686700340 is an apocalyptic number.

368686700340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368686700340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590582845440).

368686700340 is an abundant number, since it is smaller than the sum of its proper divisors (812478990540).

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

368686700340 is a wasteful number, since it uses less digits than its factorization.

368686700340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018061 (or 1018059 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 368686700340 in words is "three hundred sixty-eight billion, six hundred eighty-six million, seven hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 863 1726 2589 3452 4315 5178 6041 8630 10356 12082 12945 17260 18123 24164 25890 30205 36246 51780 60410 72492 90615 120820 181230 362460 1017179 2034358 3051537 4068716 5085895 6103074 7120253 10171790 12206148 14240506 15257685 20343580 21360759 28481012 30515370 35601265 42721518 61030740 71202530 85443036 106803795 142405060 213607590 427215180 877825477 1755650954 2633476431 3511301908 4389127385 5266952862 6144778339 8778254770 10533905724 12289556678 13167382155 17556509540 18434335017 24579113356 26334764310 30723891695 36868670034 52669528620 61447783390 73737340068 92171675085 122895566780 184343350170 368686700340