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340408020 = 223554110487
BaseRepresentation
bin10100010010100…
…011011011010100
3212201112112000110
4110102203123110
51144121024040
653440043020
711302264131
oct2422433324
9781475013
10340408020
11165173647
1296003470
13556a8284
14332d1588
151ed41980
hex144a36d4

340408020 has 48 divisors (see below), whose sum is σ = 954995328. Its totient is φ = 90599040.

The previous prime is 340407997. The next prime is 340408037. The reversal of 340408020 is 20804043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27217 + ... + 37703.

It is an arithmetic number, because the mean of its divisors is an integer number (19895736).

Almost surely, 2340408020 is an apocalyptic number.

340408020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340408020 is an abundant number, since it is smaller than the sum of its proper divisors (614587308).

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

340408020 is a wasteful number, since it uses less digits than its factorization.

340408020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11040 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 340408020 is about 18450.1495928895. The cubic root of 340408020 is about 698.2322880491.

The spelling of 340408020 in words is "three hundred forty million, four hundred eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 541 1082 1623 2164 2705 3246 5410 6492 8115 10487 10820 16230 20974 31461 32460 41948 52435 62922 104870 125844 157305 209740 314610 629220 5673467 11346934 17020401 22693868 28367335 34040802 56734670 68081604 85102005 113469340 170204010 340408020