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316154040 = 233597157173
BaseRepresentation
bin10010110110000…
…010000010111000
3211000220021210220
4102312002002320
51121413412130
651212140040
710556156616
oct2266020270
9730807726
10316154040
11152508234
1289a67620
13506657c7
142ddba6b6
151cb50410
hex12d820b8

316154040 has 128 divisors (see below), whose sum is σ = 969917760. Its totient is φ = 82427904.

The previous prime is 316153991. The next prime is 316154081. The reversal of 316154040 is 40451613.

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 316154040.

It is a congruent number.

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, 1827394 + ... + 1827566.

Almost surely, 2316154040 is an apocalyptic number.

316154040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484958880).

316154040 is an abundant number, since it is smaller than the sum of its proper divisors (653763720).

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

316154040 is a wasteful number, since it uses less digits than its factorization.

316154040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 316154040 is about 17780.7210202511. The cubic root of 316154040 is about 681.2391189800.

The spelling of 316154040 in words is "three hundred sixteen million, one hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 157 173 194 291 314 346 388 471 485 519 582 628 692 776 785 865 942 970 1038 1164 1256 1384 1455 1570 1730 1884 1940 2076 2328 2355 2595 2910 3140 3460 3768 3880 4152 4710 5190 5820 6280 6920 9420 10380 11640 15229 16781 18840 20760 27161 30458 33562 45687 50343 54322 60916 67124 76145 81483 83905 91374 100686 108644 121832 134248 135805 152290 162966 167810 182748 201372 217288 228435 251715 271610 304580 325932 335620 365496 402744 407415 456870 503430 543220 609160 651864 671240 814830 913740 1006860 1086440 1629660 1827480 2013720 2634617 3259320 5269234 7903851 10538468 13173085 15807702 21076936 26346170 31615404 39519255 52692340 63230808 79038510 105384680 158077020 316154040