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332412420 = 223541163829
BaseRepresentation
bin10011110100000…
…011011000000100
3212011111022010010
4103310003120010
51140044144140
652552430220
711144313264
oct2364033004
9764438103
10332412420
1116070240a
12933a8370
1353b38b52
143220d7a4
151e2b2880
hex13d03604

332412420 has 96 divisors (see below), whose sum is σ = 960462720. Its totient is φ = 85847040.

The previous prime is 332412397. The next prime is 332412469. The reversal of 332412420 is 24214233.

It is a super-2 number, since 2×3324124202 = 220996033940512800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400566 + ... + 401394.

It is an arithmetic number, because the mean of its divisors is an integer number (10004820).

Almost surely, 2332412420 is an apocalyptic number.

332412420 is a gapful number since it is divisible by the number (30) 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 332412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480231360).

332412420 is an abundant number, since it is smaller than the sum of its proper divisors (628050300).

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

332412420 is a wasteful number, since it uses less digits than its factorization.

332412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 332412420 is about 18232.1808898442. The cubic root of 332412420 is about 692.7221597773.

Adding to 332412420 its reverse (24214233), we get a palindrome (356626653).

The spelling of 332412420 in words is "three hundred thirty-two million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 163 164 205 246 326 410 489 492 615 652 815 820 829 978 1230 1630 1658 1956 2445 2460 2487 3260 3316 4145 4890 4974 6683 8290 9780 9948 12435 13366 16580 20049 24870 26732 33415 33989 40098 49740 66830 67978 80196 100245 101967 133660 135127 135956 169945 200490 203934 270254 339890 400980 405381 407868 509835 540508 675635 679780 810762 1019670 1351270 1621524 2026905 2039340 2702540 4053810 5540207 8107620 11080414 16620621 22160828 27701035 33241242 55402070 66482484 83103105 110804140 166206210 332412420