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405342124 = 221119716829
BaseRepresentation
bin11000001010010…
…000011110101100
31001020201111212021
4120022100132230
51312231421444
6104115515524
713021231315
oct3012203654
91036644767
10405342124
111988945a0
12b38b8ba4
1365c92015
143bb9560c
15258bb584
hex182907ac

405342124 has 48 divisors (see below), whose sum is σ = 826156800. Its totient is φ = 172065600.

The previous prime is 405342109. The next prime is 405342149. The reversal of 405342124 is 421243504.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55942 + ... + 62770.

It is an arithmetic number, because the mean of its divisors is an integer number (17211600).

Almost surely, 2405342124 is an apocalyptic number.

405342124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405342124 is an abundant number, since it is smaller than the sum of its proper divisors (420814676).

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

405342124 is a wasteful number, since it uses less digits than its factorization.

405342124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 405342124 is about 20133.1101422507. The cubic root of 405342124 is about 740.0718970806.

Adding to 405342124 its reverse (421243504), we get a palindrome (826585628).

The spelling of 405342124 in words is "four hundred five million, three hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 71 76 142 209 284 418 781 836 1349 1562 2698 3124 5396 6829 13658 14839 27316 29678 59356 75119 129751 150238 259502 300476 484859 519004 969718 1427261 1939436 2854522 5333449 5709044 9212321 10666898 18424642 21333796 36849284 101335531 202671062 405342124