Search a number
-
+
378290484 = 2232111373483
BaseRepresentation
bin10110100011000…
…100000100110100
3222100211010222200
4112203010010310
51233320243414
6101312024500
712242262465
oct2643040464
9870733880
10378290484
11184598270
12a6832130
13604b0030
1438352d6c
1523326109
hex168c4134

378290484 has 72 divisors (see below), whose sum is σ = 1123423392. Its totient is φ = 105814080.

The previous prime is 378290483. The next prime is 378290527. The reversal of 378290484 is 484092873.

378290484 is a `hidden beast` number, since 3 + 7 + 82 + 90 + 484 = 666.

It is a super-4 number, since 4×3782904844 (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378290483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31594 + ... + 41889.

Almost surely, 2378290484 is an apocalyptic number.

It is an amenable number.

378290484 is an abundant number, since it is smaller than the sum of its proper divisors (745132908).

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

378290484 is a wasteful number, since it uses less digits than its factorization.

378290484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73517 (or 73512 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 378290484 is about 19449.6911029456. The cubic root of 378290484 is about 723.2278455233.

The spelling of 378290484 in words is "three hundred seventy-eight million, two hundred ninety thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 73483 146966 220449 293932 440898 661347 808313 881796 955279 1322694 1616626 1910558 2424939 2645388 2865837 3233252 3821116 4849878 5731674 7274817 8597511 9699756 10508069 11463348 14549634 17195022 21016138 29099268 31524207 34390044 42032276 63048414 94572621 126096828 189145242 378290484