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427940430 = 23531716481
BaseRepresentation
bin11001100000011…
…101101001001110
31002211020121220120
4121200131221032
51334023043210
6110244125410
713414301511
oct3140355116
91084217816
10427940430
111aa619a85
12bb396866
136a874cb8
1440b98d78
1527882270
hex1981da4e

427940430 has 64 divisors (see below), whose sum is σ = 1075286016. Its totient is φ = 108864000.

The previous prime is 427940423. The next prime is 427940441. The reversal of 427940430 is 34049724.

It is a junction number, because it is equal to n+sod(n) for n = 427940391 and 427940400.

It is a congruent number.

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, 62790 + ... + 69270.

It is an arithmetic number, because the mean of its divisors is an integer number (16801344).

Almost surely, 2427940430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427940430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537643008).

427940430 is an abundant number, since it is smaller than the sum of its proper divisors (647345586).

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

427940430 is a wasteful number, since it uses less digits than its factorization.

427940430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6593.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 427940430 is about 20686.7211031618. The cubic root of 427940430 is about 753.5772395714.

The spelling of 427940430 in words is "four hundred twenty-seven million, nine hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 71 93 142 155 186 213 310 355 426 465 710 930 1065 2130 2201 4402 6481 6603 11005 12962 13206 19443 22010 32405 33015 38886 64810 66030 97215 194430 200911 401822 460151 602733 920302 1004555 1205466 1380453 2009110 2300755 2760906 3013665 4601510 6027330 6902265 13804530 14264681 28529362 42794043 71323405 85588086 142646810 213970215 427940430