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321053640 = 233519140813
BaseRepresentation
bin10011001000101…
…110001111001000
3211101010012210120
4103020232033020
51124142204030
651505143240
710645624305
oct2310561710
9741105716
10321053640
11155254396
128b62ab20
135168c98b
14308d40ac
151d2bc010
hex1322e3c8

321053640 has 64 divisors (see below), whose sum is σ = 1013860800. Its totient is φ = 81107712.

The previous prime is 321053617. The next prime is 321053641. The reversal of 321053640 is 46350123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 321053640.

It is not an unprimeable number, because it can be changed into a prime (321053641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68127 + ... + 72686.

It is an arithmetic number, because the mean of its divisors is an integer number (15841575).

Almost surely, 2321053640 is an apocalyptic number.

321053640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321053640 is an abundant number, since it is smaller than the sum of its proper divisors (692807160).

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

321053640 is a wasteful number, since it uses less digits than its factorization.

321053640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140846 (or 140842 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 321053640 is about 17917.9697510628. The cubic root of 321053640 is about 684.7402641815.

The spelling of 321053640 in words is "three hundred twenty-one million, fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 140813 281626 422439 563252 704065 844878 1126504 1408130 1689756 2112195 2675447 2816260 3379512 4224390 5350894 5632520 8026341 8448780 10701788 13377235 16052682 16897560 21403576 26754470 32105364 40131705 53508940 64210728 80263410 107017880 160526820 321053640