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340936801920 = 273451121337113
BaseRepresentation
bin1001111011000010110…
…10101011111010000000
31012121000110202000220000
410331201122223322000
521041214310130140
6420342454520000
733426506000151
oct4754132537200
91177013660800
10340936801920
11121654a33500
12560ab066000
13261c4cc1820
1412703cc9928
158d06541a30
hex4f616abe80

340936801920 has 1920 divisors, whose sum is σ = 1493292643920. Its totient is φ = 73574645760.

The previous prime is 340936801901. The next prime is 340936801921. The reversal of 340936801920 is 29108639043.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 56830745664 + 284106056256 = 238392^2 + 533016^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×3409368019203 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340936801921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3017139784 + ... + 3017139896.

Almost surely, 2340936801920 is an apocalyptic number.

340936801920 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 340936801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746646321960).

340936801920 is an abundant number, since it is smaller than the sum of its proper divisors (1152355842000).

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

340936801920 is a wasteful number, since it uses less digits than its factorization.

340936801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 340936801920 in words is "three hundred forty billion, nine hundred thirty-six million, eight hundred one thousand, nine hundred twenty".