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429374940 = 223516974217
BaseRepresentation
bin11001100101111…
…011110111011100
31002220221111200120
4121211323313130
51334404444230
6110334554540
713432424661
oct3145736734
91086844616
10429374940
11200409825
12bb968a50
136ac57c17
144104da68
1527a67310
hex1997bddc

429374940 has 48 divisors (see below), whose sum is σ = 1203243552. Its totient is φ = 114405376.

The previous prime is 429374873. The next prime is 429374941. The reversal of 429374940 is 49473924.

It is a junction number, because it is equal to n+sod(n) for n = 429374892 and 429374901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429374941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99712 + ... + 103928.

It is an arithmetic number, because the mean of its divisors is an integer number (25067574).

Almost surely, 2429374940 is an apocalyptic number.

It is an amenable number.

429374940 is an abundant number, since it is smaller than the sum of its proper divisors (773868612).

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

429374940 is a wasteful number, since it uses less digits than its factorization.

429374940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 429374940 is about 20721.3643373210. The cubic root of 429374940 is about 754.4183289352.

The spelling of 429374940 in words is "four hundred twenty-nine million, three hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1697 3394 4217 5091 6788 8434 8485 10182 12651 16868 16970 20364 21085 25302 25455 33940 42170 50604 50910 63255 84340 101820 126510 253020 7156249 14312498 21468747 28624996 35781245 42937494 71562490 85874988 107343735 143124980 214687470 429374940