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395490924 = 223417591217
BaseRepresentation
bin10111100100101…
…011011001101100
31000120012000120000
4113210223121230
51302221202144
6103124424300
712541421523
oct2744533154
91016160500
10395490924
11193276204
12b0548090
1363c230ca
143a74d4ba
1524ac2769
hex1792b66c

395490924 has 120 divisors (see below), whose sum is σ = 1114177680. Its totient is φ = 121872384.

The previous prime is 395490923. The next prime is 395490967. The reversal of 395490924 is 429094593.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 395490924.

It is not an unprimeable number, because it can be changed into a prime (395490923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 324364 + ... + 325580.

It is an arithmetic number, because the mean of its divisors is an integer number (9284814).

Almost surely, 2395490924 is an apocalyptic number.

395490924 is a gapful number since it is divisible by the number (34) 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 395490924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557088840).

395490924 is an abundant number, since it is smaller than the sum of its proper divisors (718686756).

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

395490924 is a wasteful number, since it uses less digits than its factorization.

395490924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 395490924 is about 19886.9536128589. The cubic root of 395490924 is about 734.0272345717.

The spelling of 395490924 in words is "three hundred ninety-five million, four hundred ninety thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 59 68 81 102 108 118 153 162 177 204 236 306 324 354 459 531 612 708 918 1003 1062 1217 1377 1593 1836 2006 2124 2434 2754 3009 3186 3651 4012 4779 4868 5508 6018 6372 7302 9027 9558 10953 12036 14604 18054 19116 20689 21906 27081 32859 36108 41378 43812 54162 62067 65718 71803 81243 82756 98577 108324 124134 131436 143606 162486 186201 197154 215409 248268 287212 324972 372402 394308 430818 558603 646227 744804 861636 1117206 1220651 1292454 1675809 1938681 2234412 2441302 2584908 3351618 3661953 3877362 4882604 5816043 6703236 7323906 7754724 10985859 11632086 14647812 21971718 23264172 32957577 43943436 65915154 98872731 131830308 197745462 395490924