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396405438 = 231121397433
BaseRepresentation
bin10111101000001…
…010101010111110
31000121220111000220
4113220022222332
51302434433223
6103200202210
712552250662
oct2750125276
91017814026
10396405438
11193840300
12b0909366
1364183440
143a90a8a2
1524c036e3
hex17a0aabe

396405438 has 96 divisors (see below), whose sum is σ = 950335008. Its totient is φ = 109486080.

The previous prime is 396405431. The next prime is 396405467. The reversal of 396405438 is 834504693.

It is a self number, because there is not a number n which added to its sum of digits gives 396405438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396405431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915270 + ... + 915702.

It is an arithmetic number, because the mean of its divisors is an integer number (9899323).

Almost surely, 2396405438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396405438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475167504).

396405438 is an abundant number, since it is smaller than the sum of its proper divisors (553929570).

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

396405438 is a wasteful number, since it uses less digits than its factorization.

396405438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 396405438 is about 19909.9331490590. The cubic root of 396405438 is about 734.5925753461.

The spelling of 396405438 in words is "three hundred ninety-six million, four hundred five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 97 121 143 194 242 286 291 363 429 433 582 726 858 866 1067 1261 1299 1573 2134 2522 2598 3146 3201 3783 4719 4763 5629 6402 7566 9438 9526 11258 11737 13871 14289 16887 23474 27742 28578 33774 35211 41613 42001 52393 61919 70422 83226 84002 104786 123838 126003 152581 157179 185757 252006 305162 314358 371514 457743 462011 546013 681109 915486 924022 1092026 1362218 1386033 1638039 2043327 2772066 3276078 4086654 5082121 6006143 10164242 12012286 15246363 18018429 30492726 36036858 66067573 132135146 198202719 396405438