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429374688 = 25311339581
BaseRepresentation
bin11001100101111…
…011110011100000
31002220221111100020
4121211323303200
51334404442223
6110334553440
713432424151
oct3145736340
91086844306
10429374688
11200409616
12bb968880
136ac57a82
144104d928
1527a671e3
hex1997bce0

429374688 has 48 divisors (see below), whose sum is σ = 1137111696. Its totient is φ = 141854720.

The previous prime is 429374633. The next prime is 429374689. The reversal of 429374688 is 886473924.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 429374688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429374689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8943 + ... + 30638.

It is an arithmetic number, because the mean of its divisors is an integer number (23689827).

Almost surely, 2429374688 is an apocalyptic number.

429374688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

429374688 is an abundant number, since it is smaller than the sum of its proper divisors (707737008).

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

429374688 is a wasteful number, since it uses less digits than its factorization.

429374688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39707 (or 39699 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 429374688 is about 20721.3582566395. The cubic root of 429374688 is about 754.4181813459.

The spelling of 429374688 in words is "four hundred twenty-nine million, three hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 39581 79162 118743 158324 237486 316648 474972 633296 949944 1266592 1899888 3799776 4472653 8945306 13417959 17890612 26835918 35781224 53671836 71562448 107343672 143124896 214687344 429374688