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580376394 = 233131953821
BaseRepresentation
bin100010100101111…
…101011101001010
31111110002011202000
4202211331131022
52142034021034
6133331251430
720245055313
oct4245753512
91443064660
10580376394
11278675414
12142449b76
13933178b0
145711960a
1535e43599
hex2297d74a

580376394 has 128 divisors (see below), whose sum is σ = 1491436800. Its totient is φ = 165784320.

The previous prime is 580376371. The next prime is 580376429. The reversal of 580376394 is 493673085.

580376394 is a `hidden beast` number, since 5 + 8 + 0 + 3 + 7 + 639 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 706504 + ... + 707324.

It is an arithmetic number, because the mean of its divisors is an integer number (11651850).

Almost surely, 2580376394 is an apocalyptic number.

580376394 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 580376394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745718400).

580376394 is an abundant number, since it is smaller than the sum of its proper divisors (911060406).

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

580376394 is a wasteful number, since it uses less digits than its factorization.

580376394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 580376394 is about 24091.0023452741. The cubic root of 580376394 is about 834.1354523539.

The spelling of 580376394 in words is "five hundred eighty million, three hundred seventy-six thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 53 54 57 78 106 114 117 159 171 234 247 318 342 351 477 494 513 689 702 741 821 954 1007 1026 1378 1431 1482 1642 2014 2067 2223 2463 2862 3021 4134 4446 4926 6042 6201 6669 7389 9063 10673 12402 13091 13338 14778 15599 18126 18603 21346 22167 26182 27189 31198 32019 37206 39273 43513 44334 46797 54378 64038 78546 87026 93594 96057 117819 130539 140391 192114 202787 235638 261078 280782 288171 353457 391617 405574 421173 565669 576342 608361 706914 783234 826747 842346 1131338 1174851 1216722 1653494 1697007 1825083 2349702 2480241 3394014 3650166 4960482 5091021 5475249 7440723 10182042 10747711 10950498 14881446 15273063 21495422 22322169 30546126 32243133 44644338 64486266 96729399 193458798 290188197 580376394