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398622240 = 25325276821
BaseRepresentation
bin10111110000100…
…111111000100000
31000210002002220200
4113300213320200
51304021402430
6103315505200
712610142652
oct2760477040
91023062820
10398622240
11195014875
12b15b8200
136477b463
143ad266d2
1524ee0460
hex17c27e20

398622240 has 72 divisors (see below), whose sum is σ = 1360303308. Its totient is φ = 106298880.

The previous prime is 398622227. The next prime is 398622277. The reversal of 398622240 is 42226893.

398622240 is a `hidden beast` number, since 3 + 9 + 8 + 622 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 371872656 + 26749584 = 19284^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 398622195 and 398622204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136971 + ... + 139850.

Almost surely, 2398622240 is an apocalyptic number.

398622240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398622240 is an abundant number, since it is smaller than the sum of its proper divisors (961681068).

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

398622240 is a wasteful number, since it uses less digits than its factorization.

398622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276842 (or 276831 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 398622240 is about 19965.5262890814. The cubic root of 398622240 is about 735.9593747268.

The spelling of 398622240 in words is "three hundred ninety-eight million, six hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 276821 553642 830463 1107284 1384105 1660926 2214568 2491389 2768210 3321852 4152315 4429136 4982778 5536420 6643704 8304630 8858272 9965556 11072840 12456945 13287408 16609260 19931112 22145680 24913890 26574816 33218520 39862224 44291360 49827780 66437040 79724448 99655560 132874080 199311120 398622240