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380749512 = 2331113195839
BaseRepresentation
bin10110101100011…
…100011011001000
3222112110002010210
4112230130123020
51234432441022
6101440441120
712302213613
oct2654343310
9875402123
10380749512
11185a17820
12a76191a0
1360b61390
14387d317a
152365ea0c
hex16b1c6c8

380749512 has 128 divisors (see below), whose sum is σ = 1177344000. Its totient is φ = 100880640.

The previous prime is 380749511. The next prime is 380749517. The reversal of 380749512 is 215947083.

380749512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (380749511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62289 + ... + 68127.

It is an arithmetic number, because the mean of its divisors is an integer number (9198000).

Almost surely, 2380749512 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 380749512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588672000).

380749512 is an abundant number, since it is smaller than the sum of its proper divisors (796594488).

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

380749512 is a wasteful number, since it uses less digits than its factorization.

380749512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 380749512 is about 19512.8037964819. The cubic root of 380749512 is about 724.7915449847.

It can be divided in two parts, 38074 and 9512, that added together give a triangular number (47586 = T308).

The spelling of 380749512 in words is "three hundred eighty million, seven hundred forty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 19 22 24 26 33 38 39 44 52 57 66 76 78 88 104 114 132 143 152 156 209 228 247 264 286 312 418 429 456 494 572 627 741 836 858 988 1144 1254 1482 1672 1716 1976 2508 2717 2964 3432 5016 5434 5839 5928 8151 10868 11678 16302 17517 21736 23356 32604 35034 46712 64229 65208 70068 75907 110941 128458 140136 151814 192687 221882 227721 256916 303628 332823 385374 443764 455442 513832 607256 665646 770748 834977 887528 910884 1220351 1331292 1442233 1541496 1669954 1821768 2440702 2504931 2662584 2884466 3339908 3661053 4326699 4881404 5009862 5768932 6679816 7322106 8653398 9762808 10019724 11537864 14644212 15864563 17306796 20039448 29288424 31729126 34613592 47593689 63458252 95187378 126916504 190374756 380749512