Search a number
-
+
3131012340 = 223357379427
BaseRepresentation
bin1011101010011111…
…0111010011110100
322002012112220111000
42322213313103310
522403014343330
61234404243300
7140406110601
oct27247672364
98065486430
103131012340
111367413a05
127346a0530
133ab895a31
14219b8b6a8
15134d22560
hexba9f74f4

3131012340 has 96 divisors (see below), whose sum is σ = 9874488960. Its totient is φ = 823488768.

The previous prime is 3131012329. The next prime is 3131012341. The reversal of 3131012340 is 432101313.

3131012340 is a `hidden beast` number, since 3 + 1 + 310 + 12 + 340 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131012341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294 + ... + 79133.

It is an arithmetic number, because the mean of its divisors is an integer number (102859260).

Almost surely, 23131012340 is an apocalyptic number.

3131012340 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 3131012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937244480).

3131012340 is an abundant number, since it is smaller than the sum of its proper divisors (6743476620).

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

3131012340 is a wasteful number, since it uses less digits than its factorization.

3131012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79518 (or 79510 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3131012340 is about 55955.4496005528. The cubic root of 3131012340 is about 1462.9458785135.

Adding to 3131012340 its reverse (432101313), we get a palindrome (3563113653).

The spelling of 3131012340 in words is "three billion, one hundred thirty-one million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 2190 2628 3285 3942 4380 6570 7884 9855 13140 19710 39420 79427 158854 238281 317708 397135 476562 714843 794270 953124 1191405 1429686 1588540 2144529 2382810 2859372 3574215 4289058 4765620 5798171 7148430 8578116 10722645 11596342 14296860 17394513 21445290 23192684 28990855 34789026 42890580 52183539 57981710 69578052 86972565 104367078 115963420 156550617 173945130 208734156 260917695 313101234 347890260 521835390 626202468 782753085 1043670780 1565506170 3131012340