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2380195440 = 243257472261
BaseRepresentation
bin1000110111011110…
…1110011001110000
320010212202110022200
42031313232121300
514333312223230
61032103503200
7112661220210
oct21567563160
96125673280
102380195440
111011616077
12565157b00
132bc17348c
14188186240
15dde63160
hex8ddee670

2380195440 has 120 divisors (see below), whose sum is σ = 9135436128. Its totient is φ = 544043520.

The previous prime is 2380195429. The next prime is 2380195463. The reversal of 2380195440 is 445910832.

2380195440 is a `hidden beast` number, since 23 + 8 + 0 + 195 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2380195395 and 2380195404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231091 + ... + 241170.

Almost surely, 22380195440 is an apocalyptic number.

2380195440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2380195440 is an abundant number, since it is smaller than the sum of its proper divisors (6755240688).

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

2380195440 is a wasteful number, since it uses less digits than its factorization.

2380195440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472287 (or 472278 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2380195440 is about 48787.2466941925. The cubic root of 2380195440 is about 1335.1729944567.

The spelling of 2380195440 in words is "two billion, three hundred eighty million, one hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 472261 944522 1416783 1889044 2361305 2833566 3305827 3778088 4250349 4722610 5667132 6611654 7083915 7556176 8500698 9445220 9917481 11334264 13223308 14167830 16529135 17001396 18890440 19834962 21251745 22668528 26446616 28335660 29752443 33058270 34002792 37780880 39669924 42503490 49587405 52893232 56671320 59504886 66116540 68005584 79339848 85006980 99174810 113342640 119009772 132233080 148762215 158679696 170013960 198349620 238019544 264466160 297524430 340027920 396699240 476039088 595048860 793398480 1190097720 2380195440