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379473964340 = 2251571117108193
BaseRepresentation
bin1011000010110100110…
…10010010110100110100
31100021111012012201110212
411201122122102310310
522204130313324330
6450154500004552
736262501322312
oct5413232226464
91307435181425
10379473964340
11136a30183a69
1261665090758
1329a26c93c03
141451c0a90b2
159d0e8c0295
hex585a692d34

379473964340 has 48 divisors (see below), whose sum is σ = 802696479312. Its totient is φ = 150686355456.

The previous prime is 379473964339. The next prime is 379473964343. The reversal of 379473964340 is 43469374973.

It can be written as a sum of positive squares in 8 ways, for example, as 78235446436 + 301238517904 = 279706^2 + 548852^2 .

It is a super-3 number, since 3×3794739643403 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 379473964340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379473964343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3453284 + ... + 3561476.

It is an arithmetic number, because the mean of its divisors is an integer number (16722843319).

Almost surely, 2379473964340 is an apocalyptic number.

It is an amenable number.

379473964340 is an abundant number, since it is smaller than the sum of its proper divisors (423222514972).

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

379473964340 is a wasteful number, since it uses less digits than its factorization.

379473964340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109476 (or 109474 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 59.

The spelling of 379473964340 in words is "three hundred seventy-nine billion, four hundred seventy-three million, nine hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1117 1570 2234 3140 4468 5585 11170 22340 108193 175369 216386 350738 432772 540965 701476 876845 1081930 1753690 2163860 3507380 16986301 33972602 67945204 84931505 120851581 169863010 241703162 339726020 483406324 604257905 1208515810 2417031620 18973698217 37947396434 75894792868 94868491085 189736982170 379473964340