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396399816 = 23327177543
BaseRepresentation
bin10111101000001…
…001010011001000
31000121220012022200
4113220021103020
51302434243231
6103200120200
712552225411
oct2750112310
91017805280
10396399816
1119383705a
12b0906060
1364180a07
143a908808
1524c01be6
hex17a094c8

396399816 has 48 divisors (see below), whose sum is σ = 1088717760. Its totient is φ = 130270560.

The previous prime is 396399791. The next prime is 396399823. The reversal of 396399816 is 618993693.

It is a nude number because it is divisible by every one of its digits.

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, 33660 + ... + 43883.

It is an arithmetic number, because the mean of its divisors is an integer number (22681620).

Almost surely, 2396399816 is an apocalyptic number.

396399816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

396399816 is an abundant number, since it is smaller than the sum of its proper divisors (692317944).

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

396399816 is a wasteful number, since it uses less digits than its factorization.

396399816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77626 (or 77619 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 396399816 is about 19909.7919627504. The cubic root of 396399816 is about 734.5891025557.

It can be divided in two parts, 39639 and 9816, that added together give a triangular number (49455 = T314).

The spelling of 396399816 in words is "three hundred ninety-six million, three hundred ninety-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 77543 155086 232629 310172 465258 620344 697887 930516 1395774 1861032 2791548 5505553 5583096 11011106 16516659 22022212 33033318 44044424 49549977 66066636 99099954 132133272 198199908 396399816