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380423472 = 2431113192917
BaseRepresentation
bin10110101011001…
…100110100110000
3222111211111220020
4112223030310300
51234342022342
6101425443440
712266355222
oct2653146460
9874744806
10380423472
11185814870
12a74a0580
1360a78b60
143874a412
15235e80ec
hex16accd30

380423472 has 160 divisors (see below), whose sum is σ = 1215755520. Its totient is φ = 100776960.

The previous prime is 380423441. The next prime is 380423507. The reversal of 380423472 is 274324083.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 128958 + ... + 131874.

It is an arithmetic number, because the mean of its divisors is an integer number (7598472).

Almost surely, 2380423472 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 380423472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607877760).

380423472 is an abundant number, since it is smaller than the sum of its proper divisors (835332048).

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

380423472 is a wasteful number, since it uses less digits than its factorization.

380423472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 380423472 is about 19504.4474928156. The cubic root of 380423472 is about 724.5846035775.

It can be divided in two parts, 38042 and 3472, that added together give a palindrome (41514).

The spelling of 380423472 in words is "three hundred eighty million, four hundred twenty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1144 1254 1482 1672 1716 1976 2288 2508 2717 2917 2964 3344 3432 3952 5016 5434 5834 5928 6864 8151 8751 10032 10868 11668 11856 16302 17502 21736 23336 32087 32604 35004 37921 43472 46672 55423 64174 65208 70008 75842 96261 110846 113763 128348 130416 140016 151684 166269 192522 221692 227526 256696 303368 332538 385044 417131 443384 455052 513392 606736 609653 665076 720499 770088 834262 886768 910104 1219306 1251393 1330152 1440998 1540176 1668524 1820208 1828959 2161497 2438612 2502786 2660304 2881996 3337048 3657918 4322994 4877224 5005572 5763992 6674096 7315836 7925489 8645988 9754448 10011144 11527984 14631672 15850978 17291976 20022288 23776467 29263344 31701956 34583952 47552934 63403912 95105868 126807824 190211736 380423472