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425671344 = 243271732441
BaseRepresentation
bin11001010111110…
…011101010110000
31002122222100022100
4121113303222300
51332432440334
6110123340400
713356101220
oct3127635260
91078870270
10425671344
111a930a1aa
12ba681700
136a25c247
1440768080
1527584c99
hex195f3ab0

425671344 has 120 divisors (see below), whose sum is σ = 1369903392. Its totient is φ = 120867840.

The previous prime is 425671321. The next prime is 425671357. The reversal of 425671344 is 443176524.

425671344 is a `hidden beast` number, since 42 + 567 + 13 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 425671299 and 425671308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173164 + ... + 175604.

Almost surely, 2425671344 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 425671344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684951696).

425671344 is an abundant number, since it is smaller than the sum of its proper divisors (944232048).

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

425671344 is a wasteful number, since it uses less digits than its factorization.

425671344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2626 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 425671344 is about 20631.8041867404. The cubic root of 425671344 is about 752.2429707560.

The spelling of 425671344 in words is "four hundred twenty-five million, six hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 173 252 336 346 504 519 692 1008 1038 1211 1384 1557 2076 2422 2441 2768 3114 3633 4152 4844 4882 6228 7266 7323 8304 9688 9764 10899 12456 14532 14646 17087 19376 19528 21798 21969 24912 29064 29292 34174 39056 43596 43938 51261 58128 58584 68348 87192 87876 102522 117168 136696 153783 174384 175752 205044 273392 307566 351504 410088 422293 615132 820176 844586 1230264 1266879 1689172 2460528 2533758 2956051 3378344 3800637 5067516 5912102 6756688 7601274 8868153 10135032 11824204 15202548 17736306 20270064 23648408 26604459 30405096 35472612 47296816 53208918 60810192 70945224 106417836 141890448 212835672 425671344