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2316146640 = 2435175310711
BaseRepresentation
bin1000101000001101…
…1001011111010000
312222102020102212220
42022003121133100
514220413143030
61021455021040
7111252631053
oct21203313720
95872212786
102316146640
11a8944a285
1254780a780
132abb09692
1417d872a9a
15d8510a10
hex8a0d97d0

2316146640 has 160 divisors (see below), whose sum is σ = 7746575616. Its totient is φ = 570286080.

The previous prime is 2316146639. The next prime is 2316146653. The reversal of 2316146640 is 466416132.

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, 210885 + ... + 221595.

Almost surely, 22316146640 is an apocalyptic number.

2316146640 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 2316146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873287808).

2316146640 is an abundant number, since it is smaller than the sum of its proper divisors (5430428976).

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

2316146640 is a wasteful number, since it uses less digits than its factorization.

2316146640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2316146640 is about 48126.3611755553. The cubic root of 2316146640 is about 1323.0878582183.

The spelling of 2316146640 in words is "two billion, three hundred sixteen million, one hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 53 60 68 80 85 102 106 120 136 159 170 204 212 240 255 265 272 318 340 408 424 510 530 636 680 795 816 848 901 1020 1060 1272 1360 1590 1802 2040 2120 2544 2703 3180 3604 4080 4240 4505 5406 6360 7208 9010 10711 10812 12720 13515 14416 18020 21422 21624 27030 32133 36040 42844 43248 53555 54060 64266 72080 85688 107110 108120 128532 160665 171376 182087 214220 216240 257064 321330 364174 428440 514128 546261 567683 642660 728348 856880 910435 1092522 1135366 1285320 1456696 1703049 1820870 2185044 2270732 2570640 2731305 2838415 2913392 3406098 3641740 4370088 4541464 5462610 5676830 6812196 7283480 8515245 8740176 9082928 9650611 10925220 11353660 13624392 14566960 17030490 19301222 21850440 22707320 27248784 28951833 34060980 38602444 43700880 45414640 48253055 57903666 68121960 77204888 96506110 115807332 136243920 144759165 154409776 193012220 231614664 289518330 386024440 463229328 579036660 772048880 1158073320 2316146640