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330842112 = 214353127
BaseRepresentation
bin10011101110000…
…100000000000000
3212001112112001120
4103232010000000
51134143421422
652455032240
711125053156
oct2356040000
9761475046
10330842112
1115a82a637
129296b680
1353709183
1431d213d6
151e0a245c
hex13b84000

330842112 has 120 divisors (see below), whose sum is σ = 905942016. Its totient is φ = 107347968.

The previous prime is 330842107. The next prime is 330842119. The reversal of 330842112 is 211248033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (330842119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2604993 + ... + 2605119.

Almost surely, 2330842112 is an apocalyptic number.

330842112 is a gapful number since it is divisible by the number (32) 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 330842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452971008).

330842112 is an abundant number, since it is smaller than the sum of its proper divisors (575099904).

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

330842112 is an equidigital number, since it uses as much as digits as its factorization.

330842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 330842112 is about 18189.0657264193. The cubic root of 330842112 is about 691.6296368686.

The spelling of 330842112 in words is "three hundred thirty million, eight hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 127 128 159 192 212 254 256 318 381 384 424 508 512 636 762 768 848 1016 1024 1272 1524 1536 1696 2032 2048 2544 3048 3072 3392 4064 4096 5088 6096 6144 6731 6784 8128 8192 10176 12192 12288 13462 13568 16256 16384 20193 20352 24384 24576 26924 27136 32512 40386 40704 48768 49152 53848 54272 65024 80772 81408 97536 107696 108544 130048 161544 162816 195072 215392 217088 260096 323088 325632 390144 430784 434176 520192 646176 651264 780288 861568 868352 1040384 1292352 1302528 1560576 1723136 2080768 2584704 2605056 3121152 3446272 5169408 6242304 6892544 10338816 13785088 20677632 27570176 41355264 55140352 82710528 110280704 165421056 330842112