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395500440 = 233513672411
BaseRepresentation
bin10111100100101…
…101101110011000
31000120012111121110
4113210231232120
51302222003230
6103124540320
712541461336
oct2744555630
91016174543
10395500440
11193282375
12b05516a0
1363c2753a
143a752b56
1524ac54b0
hex1792db98

395500440 has 64 divisors (see below), whose sum is σ = 1187861760. Its totient is φ = 105345920.

The previous prime is 395500421. The next prime is 395500477. The reversal of 395500440 is 44005593.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 395500398 and 395500407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162835 + ... + 165245.

It is an arithmetic number, because the mean of its divisors is an integer number (18560340).

Almost surely, 2395500440 is an apocalyptic number.

395500440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395500440 is an abundant number, since it is smaller than the sum of its proper divisors (792361320).

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

395500440 is a wasteful number, since it uses less digits than its factorization.

395500440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 395500440 is about 19887.1928637503. The cubic root of 395500440 is about 734.0331217250.

The spelling of 395500440 in words is "three hundred ninety-five million, five hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1367 2411 2734 4101 4822 5468 6835 7233 8202 9644 10936 12055 13670 14466 16404 19288 20505 24110 27340 28932 32808 36165 41010 48220 54680 57864 72330 82020 96440 144660 164040 289320 3295837 6591674 9887511 13183348 16479185 19775022 26366696 32958370 39550044 49437555 65916740 79100088 98875110 131833480 197750220 395500440