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313034430 = 235173753313
BaseRepresentation
bin10010101010001…
…000011010111110
3210211000210111210
4102222020122332
51120114100210
651021225250
710520514552
oct2252103276
9724023453
10313034430
11150777445
1288a02226
134cb12897
142d807862
151c735e20
hex12a886be

313034430 has 128 divisors (see below), whose sum is σ = 835049088. Its totient is φ = 74760192.

The previous prime is 313034369. The next prime is 313034437. The reversal of 313034430 is 34430313.

It is a junction number, because it is equal to n+sod(n) for n = 313034397 and 313034406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313034437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 999954 + ... + 1000266.

It is an arithmetic number, because the mean of its divisors is an integer number (6523821).

Almost surely, 2313034430 is an apocalyptic number.

313034430 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 313034430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417524544).

313034430 is an abundant number, since it is smaller than the sum of its proper divisors (522014658).

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

313034430 is a wasteful number, since it uses less digits than its factorization.

313034430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 313034430 is about 17692.7790355275. The cubic root of 313034430 is about 678.9910281559.

Adding to 313034430 its reverse (34430313), we get a palindrome (347464743).

The spelling of 313034430 in words is "three hundred thirteen million, thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 53 74 85 102 106 111 159 170 185 222 255 265 313 318 370 510 530 555 626 629 795 901 939 1110 1258 1565 1590 1802 1878 1887 1961 2703 3130 3145 3774 3922 4505 4695 5321 5406 5883 6290 9010 9390 9435 9805 10642 11581 11766 13515 15963 16589 18870 19610 23162 26605 27030 29415 31926 33178 33337 34743 49767 53210 57905 58830 66674 69486 79815 82945 99534 100011 115810 159630 165890 166685 173715 196877 200022 248835 282013 333370 347430 393754 497670 500055 564026 590631 613793 846039 984385 1000110 1181262 1227586 1410065 1692078 1841379 1968770 2820130 2953155 3068965 3682758 4230195 5906310 6137930 8460390 9206895 10434481 18413790 20868962 31303443 52172405 62606886 104344810 156517215 313034430