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468342780 = 223519478741
BaseRepresentation
bin11011111010100…
…101011111111100
31012122021021111220
4123322211133330
51424343432110
6114250113340
714414563563
oct3372453774
91178237456
10468342780
11220404954
12110a1b850
137604ca09
14462b4bda
152b1b3370
hex1bea57fc

468342780 has 96 divisors (see below), whose sum is σ = 1409909760. Its totient is φ = 115787520.

The previous prime is 468342769. The next prime is 468342817. The reversal of 468342780 is 87243864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49210 + ... + 57950.

It is an arithmetic number, because the mean of its divisors is an integer number (14686560).

Almost surely, 2468342780 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 468342780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704954880).

468342780 is an abundant number, since it is smaller than the sum of its proper divisors (941566980).

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

468342780 is a wasteful number, since it uses less digits than its factorization.

468342780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 468342780 is about 21641.2287081857. The cubic root of 468342780 is about 776.5831142556.

The spelling of 468342780 in words is "four hundred sixty-eight million, three hundred forty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 47 57 60 76 94 95 114 141 188 190 228 235 282 285 380 470 564 570 705 893 940 1140 1410 1786 2679 2820 3572 4465 5358 8741 8930 10716 13395 17482 17860 26223 26790 34964 43705 52446 53580 87410 104892 131115 166079 174820 262230 332158 410827 498237 524460 664316 821654 830395 996474 1232481 1643308 1660790 1992948 2054135 2464962 2491185 3321580 4108270 4929924 4982370 6162405 7805713 8216540 9964740 12324810 15611426 23417139 24649620 31222852 39028565 46834278 78057130 93668556 117085695 156114260 234171390 468342780