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380742460 = 22572325397
BaseRepresentation
bin10110101100011…
…010101100111100
3222112102201110121
4112230122230330
51234432224320
6101440344324
712302154220
oct2654325474
9875381417
10380742460
11185a1249a
12a76150a4
1360b5b0c7
14387d0780
152365c8aa
hex16b1ab3c

380742460 has 144 divisors (see below), whose sum is σ = 983295936. Its totient is φ = 121245696.

The previous prime is 380742451. The next prime is 380742547. The reversal of 380742460 is 64247083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3925132 + ... + 3925228.

It is an arithmetic number, because the mean of its divisors is an integer number (6828444).

Almost surely, 2380742460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380742460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491647968).

380742460 is an abundant number, since it is smaller than the sum of its proper divisors (602553476).

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

380742460 is a wasteful number, since it uses less digits than its factorization.

380742460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 380742460 is about 19512.6230937821. The cubic root of 380742460 is about 724.7870702479.

The spelling of 380742460 in words is "three hundred eighty million, seven hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 53 70 92 97 106 115 140 161 194 212 230 265 322 371 388 460 485 529 530 644 679 742 805 970 1058 1060 1219 1358 1484 1610 1855 1940 2116 2231 2438 2645 2716 3220 3395 3703 3710 4462 4876 5141 5290 6095 6790 7406 7420 8533 8924 10282 10580 11155 12190 13580 14812 15617 17066 18515 20564 22310 24380 25705 28037 31234 34132 35987 37030 42665 44620 51313 51410 56074 62468 71974 74060 78085 85330 102626 102820 112148 118243 140185 143948 156170 170660 179935 196259 205252 236486 256565 280370 312340 359191 359870 392518 472972 513130 560740 591215 718382 719740 785036 827701 981295 1026260 1182430 1436764 1655402 1795955 1962590 2364860 2719589 3310804 3591910 3925180 4138505 5439178 7183820 8277010 10878356 13597945 16554020 19037123 27195890 38074246 54391780 76148492 95185615 190371230 380742460