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323970048 = 2103235153
BaseRepresentation
bin10011010011110…
…110010000000000
3211120121101100200
4103103312100000
51130414020143
652051445200
711012462043
oct2323662000
9746541320
10323970048
11156966546
12905b6800
135217126c
1431052c5a
151d6961d3
hex134f6400

323970048 has 66 divisors (see below), whose sum is σ = 935483094. Its totient is φ = 107986944.

The previous prime is 323970029. The next prime is 323970061. The reversal of 323970048 is 840079323.

It can be written as a sum of positive squares in only one way, i.e., 172975104 + 150994944 = 13152^2 + 12288^2 .

It is a super-2 number, since 2×3239700482 = 209913184002244608, which contains 22 as substring.

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 = 323969994 and 323970021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8361 + ... + 26792.

Almost surely, 2323970048 is an apocalyptic number.

It is an amenable number.

323970048 is an abundant number, since it is smaller than the sum of its proper divisors (611513046).

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

323970048 is a wasteful number, since it uses less digits than its factorization.

323970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35179 (or 35158 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 323970048 is about 17999.1679807707. The cubic root of 323970048 is about 686.8073803853.

The spelling of 323970048 in words is "three hundred twenty-three million, nine hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 35153 70306 105459 140612 210918 281224 316377 421836 562448 632754 843672 1124896 1265508 1687344 2249792 2531016 3374688 4499584 5062032 6749376 8999168 10124064 13498752 17998336 20248128 26997504 35996672 40496256 53995008 80992512 107990016 161985024 323970048