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429131940 = 223513815179
BaseRepresentation
bin11001100101000…
…000100010100100
31002220111011100120
4121211000202210
51334324210230
6110325441540
713430363346
oct3145004244
91086434316
10429131940
112002631a6
12bb8702b0
136aba1433
1440dc9296
1527a1a310
hex199408a4

429131940 has 48 divisors (see below), whose sum is σ = 1202671680. Its totient is φ = 114330240.

The previous prime is 429131921. The next prime is 429131947. The reversal of 429131940 is 49131924.

It is not an unprimeable number, because it can be changed into a prime (429131947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80271 + ... + 85449.

It is an arithmetic number, because the mean of its divisors is an integer number (25055660).

Almost surely, 2429131940 is an apocalyptic number.

It is a pronic number, being equal to 20715×20716.

It is an amenable number.

429131940 is an abundant number, since it is smaller than the sum of its proper divisors (773539740).

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

429131940 is a wasteful number, since it uses less digits than its factorization.

429131940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 429131940 is about 20715.4999939659. The cubic root of 429131940 is about 754.2759838416.

The spelling of 429131940 in words is "four hundred twenty-nine million, one hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1381 2762 4143 5179 5524 6905 8286 10358 13810 15537 16572 20715 20716 25895 27620 31074 41430 51790 62148 77685 82860 103580 155370 310740 7152199 14304398 21456597 28608796 35760995 42913194 71521990 85826388 107282985 143043980 214565970 429131940