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321340452 = 223234173389
BaseRepresentation
bin10011001001110…
…100010000100100
3211101122210020020
4103021310100210
51124230343302
651515235140
710651230426
oct2311642044
9741583206
10321340452
1115542a924
128b748ab0
13517603a4
143096a816
151d326ebc
hex13274424

321340452 has 96 divisors (see below), whose sum is σ = 814544640. Its totient is φ = 98334720.

The previous prime is 321340441. The next prime is 321340469. The reversal of 321340452 is 254043123.

321340452 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

321340452 is strictly pandigital in base 9.

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 31 ways as a sum of consecutive naturals, for example, 825874 + ... + 826262.

It is an arithmetic number, because the mean of its divisors is an integer number (8484840).

Almost surely, 2321340452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321340452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407272320).

321340452 is an abundant number, since it is smaller than the sum of its proper divisors (493204188).

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

321340452 is a wasteful number, since it uses less digits than its factorization.

321340452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 321340452 is about 17925.9714381118. The cubic root of 321340452 is about 684.9441068288.

Adding to 321340452 its reverse (254043123), we get a palindrome (575383575).

The spelling of 321340452 in words is "three hundred twenty-one million, three hundred forty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 41 46 69 73 82 92 123 138 146 164 219 246 276 292 389 438 492 778 876 943 1167 1556 1679 1886 2334 2829 2993 3358 3772 4668 5037 5658 5986 6716 8947 8979 10074 11316 11972 15949 17894 17958 20148 26841 28397 31898 35788 35916 47847 53682 56794 63796 68839 85191 95694 107364 113588 137678 170382 191388 206517 275356 340764 366827 413034 653131 733654 826068 1100481 1164277 1306262 1467308 1959393 2200962 2328554 2612524 3492831 3918786 4401924 4657108 6985662 7837572 13971324 26778371 53556742 80335113 107113484 160670226 321340452