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31344004230 = 23571118777229
BaseRepresentation
bin11101001100001111…
…111000110010000110
32222220102021101120120
4131030033320302012
51003143031113410
622222122442410
72156506432350
oct351417706206
988812241516
1031344004230
1112324967330
1260a9063406
132c56969386
141734b420d0
15c36b0c570
hex74c3f8c86

31344004230 has 128 divisors (see below), whose sum is σ = 93850721280. Its totient is φ = 6508669440.

The previous prime is 31344004217. The next prime is 31344004243. The reversal of 31344004230 is 3240044313.

It is an interprime number because it is at equal distance from previous prime (31344004217) and next prime (31344004243).

It is a self number, because there is not a number n which added to its sum of digits gives 31344004230.

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, 4332256 + ... + 4339484.

It is an arithmetic number, because the mean of its divisors is an integer number (733208760).

Almost surely, 231344004230 is an apocalyptic number.

31344004230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31344004230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46925360640).

31344004230 is an abundant number, since it is smaller than the sum of its proper divisors (62506717050).

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

31344004230 is a wasteful number, since it uses less digits than its factorization.

31344004230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31344004230 its reverse (3240044313), we get a palindrome (34584048543).

The spelling of 31344004230 in words is "thirty-one billion, three hundred forty-four million, four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 1877 2310 3754 5631 7229 9385 11262 13139 14458 18770 20647 21687 26278 28155 36145 39417 41294 43374 50603 56310 61941 65695 72290 78834 79519 101206 103235 108435 123882 131390 144529 151809 159038 197085 206470 216870 238557 253015 289058 303618 309705 394170 397595 433587 477114 506030 556633 619410 722645 759045 795190 867174 1113266 1192785 1445290 1518090 1669899 2167935 2385570 2783165 3339798 4335870 5566330 8349495 13568833 16698990 27137666 40706499 67844165 81412998 94981831 135688330 149257163 189963662 203532495 284945493 298514326 407064990 447771489 474909155 569890986 746285815 895542978 949818310 1044800141 1424727465 1492571630 2089600282 2238857445 2849454930 3134400423 4477714890 5224000705 6268800846 10448001410 15672002115 31344004230