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313034340320 = 25513263572233
BaseRepresentation
bin1001000111000100100…
…11001111011111100000
31002220222220100010021022
410203202103033133200
520112043242342240
6355450032145012
731421165663462
oct4434223173740
91086886303238
10313034340320
111108367a7089
1250802698168
1323699365010
141121828a132
158221b459b5
hex48e24cf7e0

313034340320 has 96 divisors (see below), whose sum is σ = 799461254592. Its totient is φ = 115142234112.

The previous prime is 313034340301. The next prime is 313034340347. The reversal of 313034340320 is 23043430313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 313034340320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260924 + ... + 833156.

It is an arithmetic number, because the mean of its divisors is an integer number (8327721402).

Almost surely, 2313034340320 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 313034340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399730627296).

313034340320 is an abundant number, since it is smaller than the sum of its proper divisors (486426914272).

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

313034340320 is a wasteful number, since it uses less digits than its factorization.

313034340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572524 (or 572516 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 313034340320 its reverse (23043430313), we get a palindrome (336077770633).

The spelling of 313034340320 in words is "three hundred thirteen billion, thirty-four million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 263 416 520 526 1040 1052 1315 2080 2104 2630 3419 4208 5260 6838 8416 10520 13676 17095 21040 27352 34190 42080 54704 68380 109408 136760 273520 547040 572233 1144466 2288932 2861165 4577864 5722330 7439029 9155728 11444660 14878058 18311456 22889320 29756116 37195145 45778640 59512232 74390290 91557280 119024464 148780580 150497279 238048928 297561160 300994558 595122320 601989116 752486395 1190244640 1203978232 1504972790 1956464627 2407956464 3009945580 3912929254 4815912928 6019891160 7825858508 9782323135 12039782320 15651717016 19564646270 24079564640 31303434032 39129292540 62606868064 78258585080 156517170160 313034340320