Search a number
-
+
309438893628 = 223361116340387
BaseRepresentation
bin1001000000010111111…
…11101100111000111100
31002120201022212111122000
410200023333230320330
520032212324044003
6354053153222300
731233120124554
oct4401377547074
91076638774560
10309438893628
1110a261208837
124bb7a561990
13232454ba577
1410d96964164
1580b11831a3
hex480bfece3c

309438893628 has 96 divisors (see below), whose sum is σ = 816121931520. Its totient is φ = 101365629120.

The previous prime is 309438893591. The next prime is 309438893641. The reversal of 309438893628 is 826398834903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7641651 + ... + 7682037.

It is an arithmetic number, because the mean of its divisors is an integer number (8501270120).

Almost surely, 2309438893628 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 309438893628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408060965760).

309438893628 is an abundant number, since it is smaller than the sum of its proper divisors (506683037892).

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

309438893628 is a wasteful number, since it uses less digits than its factorization.

309438893628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41624 (or 41616 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 309438893628 in words is "three hundred nine billion, four hundred thirty-eight million, eight hundred ninety-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1163 1647 2196 2326 3294 3489 4652 6588 6978 10467 13956 20934 31401 40387 41868 62802 70943 80774 121161 125604 141886 161548 212829 242322 283772 363483 425658 484644 638487 726966 851316 1090449 1276974 1453932 1915461 2180898 2463607 2553948 3830922 4361796 4927214 7390821 7661844 9854428 14781642 22172463 29563284 44344926 46970081 66517389 88689852 93940162 133034778 140910243 187880324 266069556 281820486 422730729 563640972 845461458 1268192187 1690922916 2536384374 2865174941 5072768748 5730349882 8595524823 11460699764 17191049646 25786574469 34382099292 51573148938 77359723407 103146297876 154719446814 309438893628