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2316712640 = 265111076151
BaseRepresentation
bin1000101000010110…
…0011101011000000
312222110022012021212
42022011203223000
514221034301030
61021515105252
7111260506154
oct21205435300
95873265255
102316712640
11a897a6550
12547a42228
132abc771a8
1417d97d064
15d85c3595
hex8a163ac0

2316712640 has 112 divisors (see below), whose sum is σ = 6075419904. Its totient is φ = 834432000.

The previous prime is 2316712639. The next prime is 2316712661. The reversal of 2316712640 is 462176132.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2316712597 and 2316712606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373565 + ... + 379715.

Almost surely, 22316712640 is an apocalyptic number.

2316712640 is a gapful number since it is divisible by the number (20) 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 2316712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037709952).

2316712640 is an abundant number, since it is smaller than the sum of its proper divisors (3758707264).

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

2316712640 is a wasteful number, since it uses less digits than its factorization.

2316712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2316712640 is about 48132.2411695113. The cubic root of 2316712640 is about 1323.1956243851.

Adding to 2316712640 its reverse (462176132), we get a palindrome (2778888772).

The spelling of 2316712640 in words is "two billion, three hundred sixteen million, seven hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 107 110 160 176 214 220 320 352 428 440 535 704 856 880 1070 1177 1712 1760 2140 2354 3424 3520 4280 4708 5885 6151 6848 8560 9416 11770 12302 17120 18832 23540 24604 30755 34240 37664 47080 49208 61510 67661 75328 94160 98416 123020 135322 188320 196832 246040 270644 338305 376640 393664 492080 541288 658157 676610 984160 1082576 1316314 1353220 1968320 2165152 2632628 2706440 3290785 4330304 5265256 5412880 6581570 7239727 10530512 10825760 13163140 14479454 21061024 21651520 26326280 28958908 36198635 42122048 52652560 57917816 72397270 105305120 115835632 144794540 210610240 231671264 289589080 463342528 579178160 1158356320 2316712640