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2838280368 = 2437114716339
BaseRepresentation
bin1010100100101100…
…1011100010110000
321022210201120201010
42221023023202300
521303044432433
61145350110520
7130222661610
oct25113134260
97283646633
102838280368
111227154060
1267264b440
13363041151
141ccd4aa40
1511929be63
hexa92cb8b0

2838280368 has 160 divisors (see below), whose sum is σ = 9336545280. Its totient is φ = 721486080.

The previous prime is 2838280343. The next prime is 2838280381. The reversal of 2838280368 is 8630828382.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 165543 + ... + 181881.

It is an arithmetic number, because the mean of its divisors is an integer number (58353408).

Almost surely, 22838280368 is an apocalyptic number.

2838280368 is a gapful number since it is divisible by the number (28) 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 2838280368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668272640).

2838280368 is an abundant number, since it is smaller than the sum of its proper divisors (6498264912).

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

2838280368 is a wasteful number, since it uses less digits than its factorization.

2838280368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16415 (or 16409 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2838280368 is about 53275.5137750918. The cubic root of 2838280368 is about 1415.8538663071.

The spelling of 2838280368 in words is "two billion, eight hundred thirty-eight million, two hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 47 48 56 66 77 84 88 94 112 132 141 154 168 176 188 231 264 282 308 329 336 376 462 517 528 564 616 658 752 924 987 1034 1128 1232 1316 1551 1848 1974 2068 2256 2632 3102 3619 3696 3948 4136 5264 6204 7238 7896 8272 10857 12408 14476 15792 16339 21714 24816 28952 32678 43428 49017 57904 65356 86856 98034 114373 130712 173712 179729 196068 228746 261424 343119 359458 392136 457492 539187 686238 718916 767933 784272 914984 1078374 1258103 1372476 1437832 1535866 1829968 2156748 2303799 2516206 2744952 2875664 3071732 3774309 4313496 4607598 5032412 5375531 5489904 6143464 7548618 8447263 8626992 9215196 10064824 10751062 12286928 15097236 16126593 16894526 18430392 20129648 21502124 25341789 30194472 32253186 33789052 36860784 43004248 50683578 59130841 60388944 64506372 67578104 86008496 101367156 118261682 129012744 135156208 177392523 202734312 236523364 258025488 354785046 405468624 473046728 709570092 946093456 1419140184 2838280368