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311145492 = 223721721831
BaseRepresentation
bin10010100010111…
…011010000010100
3210200110211101010
4102202323100110
51114123123432
650512532220
710465456500
oct2242732024
9720424333
10311145492
1114a6a7239
1288251070
134c600b78
142d475300
151c4b13cc
hex128bb414

311145492 has 108 divisors (see below), whose sum is σ = 897628704. Its totient is φ = 83623680.

The previous prime is 311145487. The next prime is 311145493. The reversal of 311145492 is 294541113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311145493) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169017 + ... + 170847.

Almost surely, 2311145492 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 311145492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448814352).

311145492 is an abundant number, since it is smaller than the sum of its proper divisors (586483212).

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

311145492 is a wasteful number, since it uses less digits than its factorization.

311145492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1860 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 311145492 is about 17639.3166534308. The cubic root of 311145492 is about 677.6225307264.

The spelling of 311145492 in words is "three hundred eleven million, one hundred forty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 289 294 357 476 578 588 714 833 867 1156 1428 1666 1734 1831 2023 2499 3332 3468 3662 4046 4998 5493 6069 7324 8092 9996 10986 12138 12817 14161 21972 24276 25634 28322 31127 38451 42483 51268 56644 62254 76902 84966 89719 93381 124508 153804 169932 179438 186762 217889 269157 358876 373524 435778 529159 538314 653667 871556 1058318 1076628 1307334 1525223 1587477 2116636 2614668 3050446 3174954 3704113 4575669 6100892 6349908 7408226 9151338 11112339 14816452 18302676 22224678 25928791 44449356 51857582 77786373 103715164 155572746 311145492