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31241430 = 23351167157
BaseRepresentation
bin111011100101…
…1010011010110
32011210020012000
41313023103112
530444211210
63033340130
7526355613
oct167132326
964706160
1031241430
11166a9170
12a567646
13661b06c
14421350a
152b21ac0
hex1dcb4d6

31241430 has 128 divisors (see below), whose sum is σ = 92828160. Its totient is φ = 7413120.

The previous prime is 31241411. The next prime is 31241443. The reversal of 31241430 is 3414213.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 198912 + ... + 199068.

It is an arithmetic number, because the mean of its divisors is an integer number (725220).

Almost surely, 231241430 is an apocalyptic number.

31241430 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 31241430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46414080).

31241430 is an abundant number, since it is smaller than the sum of its proper divisors (61586730).

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

31241430 is a wasteful number, since it uses less digits than its factorization.

31241430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31241430 is about 5589.4033670867. The cubic root of 31241430 is about 314.9514664455.

Adding to 31241430 its reverse (3414213), we get a palindrome (34655643).

It can be divided in two parts, 3124 and 1430, that added together give a palindrome (4554).

The spelling of 31241430 in words is "thirty-one million, two hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 67 90 99 110 134 135 157 165 198 201 270 297 314 330 335 402 471 495 594 603 670 737 785 942 990 1005 1206 1413 1474 1485 1570 1727 1809 2010 2211 2355 2826 2970 3015 3454 3618 3685 4239 4422 4710 5181 6030 6633 7065 7370 8478 8635 9045 10362 10519 11055 13266 14130 15543 17270 18090 19899 21038 21195 22110 25905 31086 31557 33165 39798 42390 46629 51810 52595 63114 66330 77715 93258 94671 99495 105190 115709 155430 157785 189342 198990 231418 233145 284013 315570 347127 466290 473355 568026 578545 694254 946710 1041381 1157090 1420065 1735635 2082762 2840130 3124143 3471270 5206905 6248286 10413810 15620715 31241430