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2313729036 = 223417439769
BaseRepresentation
bin1000100111101000…
…1011010000001100
312222020200121120000
42021322023100030
514214303312121
61021331124300
7111223241463
oct21172132014
95866617500
102313729036
11a88048963
12546a43690
132ab471148
1417d4039da
15d81d4526
hex89e8b40c

2313729036 has 120 divisors (see below), whose sum is σ = 6553950480. Its totient is φ = 708922368.

The previous prime is 2313729031. The next prime is 2313729037. The reversal of 2313729036 is 6309273132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2313729031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231960 + ... + 241728.

It is an arithmetic number, because the mean of its divisors is an integer number (54616254).

Almost surely, 22313729036 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 2313729036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276975240).

2313729036 is an abundant number, since it is smaller than the sum of its proper divisors (4240221444).

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

2313729036 is a wasteful number, since it uses less digits than its factorization.

2313729036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9845 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 2313729036 is about 48101.2373645419. The cubic root of 2313729036 is about 1322.6273496551.

The spelling of 2313729036 in words is "two billion, three hundred thirteen million, seven hundred twenty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 81 86 102 108 129 153 162 172 204 258 306 324 387 459 516 612 731 774 918 1161 1377 1462 1548 1836 2193 2322 2754 2924 3483 4386 4644 5508 6579 6966 8772 9769 13158 13932 19538 19737 26316 29307 39076 39474 58614 59211 78948 87921 117228 118422 166073 175842 236844 263763 332146 351684 420067 498219 527526 664292 791289 840134 996438 1055052 1260201 1494657 1582578 1680268 1992876 2520402 2989314 3165156 3780603 4483971 5040804 5978628 7141139 7561206 8967942 11341809 13451913 14282278 15122412 17935884 21423417 22683618 26903826 28564556 34025427 42846834 45367236 53807652 64270251 68050854 85693668 128540502 136101708 192810753 257081004 385621506 578432259 771243012 1156864518 2313729036