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2930353296 = 24313103127359
BaseRepresentation
bin1010111010101001…
…1010010010010000
321120012222101000120
42232222122102100
522000132301141
61202435350240
7132421410033
oct25652322220
97505871016
102930353296
111274120892
12699452380
1337913a780
141db27701a
151223d7c66
hexaea9a490

2930353296 has 160 divisors (see below), whose sum is σ = 8319467520. Its totient is φ = 883395072.

The previous prime is 2930353289. The next prime is 2930353333. The reversal of 2930353296 is 6923530392.

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, 8162365 + ... + 8162723.

It is an arithmetic number, because the mean of its divisors is an integer number (51996672).

Almost surely, 22930353296 is an apocalyptic number.

2930353296 is a gapful number since it is divisible by the number (26) 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 2930353296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159733760).

2930353296 is an abundant number, since it is smaller than the sum of its proper divisors (5389114224).

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

2930353296 is a wasteful number, since it uses less digits than its factorization.

2930353296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 42.

The square root of 2930353296 is about 54132.7377471341. The cubic root of 2930353296 is about 1431.0011891026.

The spelling of 2930353296 in words is "two billion, nine hundred thirty million, three hundred fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 127 156 206 208 254 309 312 359 381 412 508 618 624 718 762 824 1016 1077 1236 1339 1436 1524 1648 1651 2032 2154 2472 2678 2872 3048 3302 4017 4308 4667 4944 4953 5356 5744 6096 6604 8034 8616 9334 9906 10712 13081 13208 14001 16068 17232 18668 19812 21424 26162 26416 28002 32136 36977 37336 39243 39624 45593 52324 56004 64272 73954 74672 78486 79248 91186 104648 110931 112008 136779 147908 156972 170053 182372 209296 221862 224016 273558 295816 313944 340106 364744 443724 480701 510159 547116 591632 592709 627888 680212 729488 887448 961402 1020318 1094232 1185418 1360424 1442103 1774896 1778127 1922804 2040636 2188464 2370836 2720848 2884206 3556254 3845608 4081272 4696079 4741672 5768412 7112508 7691216 8162544 9392158 9483344 11536824 14088237 14225016 18784316 23073648 28176474 28450032 37568632 56352948 61049027 75137264 112705896 122098054 183147081 225411792 244196108 366294162 488392216 732588324 976784432 1465176648 2930353296