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393220296 = 233272227491
BaseRepresentation
bin10111011100000…
…001000011001000
31000101220122211200
4113130001003020
51301131022141
6103004024200
712513213600
oct2734010310
91011818750
10393220296
11191a65257
12ab832060
1363609741
143a31bc00
15247c4ab6
hex177010c8

393220296 has 144 divisors (see below), whose sum is σ = 1246836240. Its totient is φ = 111625920.

The previous prime is 393220291. The next prime is 393220301. The reversal of 393220296 is 692022393.

It is an interprime number because it is at equal distance from previous prime (393220291) and next prime (393220301).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 393220296.

It is not an unprimeable number, because it can be changed into a prime (393220291) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 800611 + ... + 801101.

It is an arithmetic number, because the mean of its divisors is an integer number (8658585).

Almost surely, 2393220296 is an apocalyptic number.

393220296 is a gapful number since it is divisible by the number (36) 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 393220296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623418120).

393220296 is an abundant number, since it is smaller than the sum of its proper divisors (853615944).

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

393220296 is a wasteful number, since it uses less digits than its factorization.

393220296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 393220296 is about 19829.7830547891. The cubic root of 393220296 is about 732.6197832433.

The spelling of 393220296 in words is "three hundred ninety-three million, two hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 227 252 294 392 441 454 491 504 588 681 882 908 982 1176 1362 1473 1589 1764 1816 1964 2043 2724 2946 3178 3437 3528 3928 4086 4419 4767 5448 5892 6356 6874 8172 8838 9534 10311 11123 11784 12712 13748 14301 16344 17676 19068 20622 22246 24059 27496 28602 30933 33369 35352 38136 41244 44492 48118 57204 61866 66738 72177 82488 88984 96236 100107 111457 114408 123732 133476 144354 192472 200214 216531 222914 247464 266952 288708 334371 400428 433062 445828 577416 668742 780199 800856 866124 891656 1003113 1337484 1560398 1732248 2006226 2340597 2674968 3120796 4012452 4681194 5461393 6241592 7021791 8024904 9362388 10922786 14043582 16384179 18724776 21845572 28087164 32768358 43691144 49152537 56174328 65536716 98305074 131073432 196610148 393220296