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434228364 = 2235538429
BaseRepresentation
bin11001111000011…
…100110010001100
31010021002002100000
4121320130302030
51342130301424
6111031004300
713521610623
oct3170346214
91107062300
10434228364
11203124219
12101509690
136bc6707b
14419546ba
15281c53c9
hex19e1cc8c

434228364 has 72 divisors (see below), whose sum is σ = 1159900560. Its totient is φ = 141994944.

The previous prime is 434228351. The next prime is 434228369. The reversal of 434228364 is 463822434.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (434228369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47302 + ... + 55730.

It is an arithmetic number, because the mean of its divisors is an integer number (16109730).

Almost surely, 2434228364 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 434228364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579950280).

434228364 is an abundant number, since it is smaller than the sum of its proper divisors (725672196).

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

434228364 is a wasteful number, since it uses less digits than its factorization.

434228364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501 (or 8487 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 434228364 is about 20838.1468465888. The cubic root of 434228364 is about 757.2501989771.

The spelling of 434228364 in words is "four hundred thirty-four million, two hundred twenty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 954 972 1431 1908 2862 4293 5724 8429 8586 12879 16858 17172 25287 25758 33716 50574 51516 75861 101148 151722 227583 303444 446737 455166 682749 893474 910332 1340211 1365498 1786948 2048247 2680422 2730996 4020633 4096494 5360844 8041266 8192988 12061899 16082532 24123798 36185697 48247596 72371394 108557091 144742788 217114182 434228364