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429366940 = 225196771669
BaseRepresentation
bin11001100101111…
…001111010011100
31002220221002201021
4121211321322130
51334404220230
6110334453524
713432362442
oct3145717234
91086832637
10429366940
11200403812
12bb9642a4
136ac543a2
144104ab92
1527a64c7a
hex19979e9c

429366940 has 48 divisors (see below), whose sum is σ = 951098400. Its totient is φ = 162369792.

The previous prime is 429366923. The next prime is 429366979. The reversal of 429366940 is 49663924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256426 + ... + 258094.

It is an arithmetic number, because the mean of its divisors is an integer number (19814550).

Almost surely, 2429366940 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 429366940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475549200).

429366940 is an abundant number, since it is smaller than the sum of its proper divisors (521731460).

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

429366940 is a wasteful number, since it uses less digits than its factorization.

429366940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 429366940 is about 20721.1712989396. The cubic root of 429366940 is about 754.4136435321.

The spelling of 429366940 in words is "four hundred twenty-nine million, three hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 677 1354 1669 2708 3338 3385 6676 6770 8345 12863 13540 16690 25726 31711 33380 51452 63422 64315 126844 128630 158555 257260 317110 634220 1129913 2259826 4519652 5649565 11299130 21468347 22598260 42936694 85873388 107341735 214683470 429366940