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311300990 = 2571113137227
BaseRepresentation
bin10010100011100…
…001001101111110
3210200202201200022
4102203201031332
51114143112430
650520132142
710500005030
oct2243411576
9720681608
10311300990
1114a7a3050
1288307052
134c656890
142d4b5c50
151c4e24e5
hex128e137e

311300990 has 128 divisors (see below), whose sum is σ = 761177088. Its totient is φ = 88519680.

The previous prime is 311300989. The next prime is 311301019. The reversal of 311300990 is 99003113.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1371257 + ... + 1371483.

It is an arithmetic number, because the mean of its divisors is an integer number (5946696).

Almost surely, 2311300990 is an apocalyptic number.

311300990 is an abundant number, since it is smaller than the sum of its proper divisors (449876098).

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

311300990 is a wasteful number, since it uses less digits than its factorization.

311300990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 729, while the sum is 26.

The square root of 311300990 is about 17643.7238132997. The cubic root of 311300990 is about 677.7353947539.

The spelling of 311300990 in words is "three hundred eleven million, three hundred thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 137 143 154 182 227 274 286 385 454 455 685 715 770 910 959 1001 1135 1370 1430 1507 1589 1781 1918 2002 2270 2497 2951 3014 3178 3562 4795 4994 5005 5902 7535 7945 8905 9590 10010 10549 12467 12485 14755 15070 15890 17479 17810 19591 20657 21098 24934 24970 29510 31099 32461 34958 39182 41314 52745 62198 62335 64922 87395 97955 103285 105490 124670 137137 155495 162305 174790 195910 206570 217693 227227 274274 310990 324610 342089 404287 435386 454454 684178 685685 808574 1088465 1136135 1371370 1710445 2021435 2176930 2272270 2394623 2830009 3420890 4042870 4447157 4789246 5660018 8894314 11973115 14150045 22235785 23946230 28300090 31130099 44471570 62260198 155650495 311300990