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412023240 = 233352411583
BaseRepresentation
bin11000100011101…
…111100111001000
31001201021221122000
4120203233213020
51320434220430
6104515031000
713132065636
oct3043574710
91051257560
10412023240
111a1638182
12b5b9b460
1367491045
143ca14356
152628ae60
hex188ef9c8

412023240 has 128 divisors (see below), whose sum is σ = 1379980800. Its totient is φ = 109347840.

The previous prime is 412023233. The next prime is 412023247. The reversal of 412023240 is 42320214.

It is an interprime number because it is at equal distance from previous prime (412023233) and next prime (412023247).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412023247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259489 + ... + 261071.

It is an arithmetic number, because the mean of its divisors is an integer number (10781100).

Almost surely, 2412023240 is an apocalyptic number.

412023240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689990400).

412023240 is an abundant number, since it is smaller than the sum of its proper divisors (967957560).

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

412023240 is a wasteful number, since it uses less digits than its factorization.

412023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 412023240 is about 20298.3555984223. The cubic root of 412023240 is about 744.1158768526.

Adding to 412023240 its reverse (42320214), we get a palindrome (454343454).

The spelling of 412023240 in words is "four hundred twelve million, twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 241 270 360 482 540 723 964 1080 1205 1446 1583 1928 2169 2410 2892 3166 3615 4338 4749 4820 5784 6332 6507 7230 7915 8676 9498 9640 10845 12664 13014 14247 14460 15830 17352 18996 21690 23745 26028 28494 28920 31660 32535 37992 42741 43380 47490 52056 56988 63320 65070 71235 85482 86760 94980 113976 130140 142470 170964 189960 213705 260280 284940 341928 381503 427410 569880 763006 854820 1144509 1526012 1709640 1907515 2289018 3052024 3433527 3815030 4578036 5722545 6867054 7630060 9156072 10300581 11445090 13734108 15260120 17167635 20601162 22890180 27468216 34335270 41202324 45780360 51502905 68670540 82404648 103005810 137341080 206011620 412023240