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405690340 = 2251111316319
BaseRepresentation
bin11000001011100…
…101011111100100
31001021101012112011
4120023211133210
51312324042330
6104131204004
713024211446
oct3013453744
91037335464
10405690340
11199002180
12b3a46604
1366084673
143bc46496
152593982a
hex182e57e4

405690340 has 48 divisors (see below), whose sum is σ = 937681920. Its totient is φ = 146209280.

The previous prime is 405690319. The next prime is 405690343. The reversal of 405690340 is 43096504.

It is not an unprimeable number, because it can be changed into a prime (405690343) 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, 16701 + ... + 33019.

It is an arithmetic number, because the mean of its divisors is an integer number (19535040).

Almost surely, 2405690340 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 405690340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

405690340 is an abundant number, since it is smaller than the sum of its proper divisors (531991580).

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

405690340 is a wasteful number, since it uses less digits than its factorization.

405690340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16452 (or 16450 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 405690340 is about 20141.7561299903. The cubic root of 405690340 is about 740.2837601796.

The spelling of 405690340 in words is "four hundred five million, six hundred ninety thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 12430 16319 24860 32638 65276 81595 163190 179509 326380 359018 718036 897545 1795090 1844047 3590180 3688094 7376188 9220235 18440470 20284517 36880940 40569034 81138068 101422585 202845170 405690340