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352100140 = 225737101673
BaseRepresentation
bin10100111111001…
…001111100101100
3220112112112120221
4110333021330230
51210114201030
654534421124
711503542010
oct2477117454
9815475527
10352100140
1117082a057
1299b017a4
1357c400a2
1434a96540
1520da0e7a
hex14fc9f2c

352100140 has 96 divisors (see below), whose sum is σ = 877774464. Its totient is φ = 116121600.

The previous prime is 352100137. The next prime is 352100149. The reversal of 352100140 is 41001253.

It is not an unprimeable number, because it can be changed into a prime (352100149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522844 + ... + 523516.

It is an arithmetic number, because the mean of its divisors is an integer number (9143484).

Almost surely, 2352100140 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 352100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438887232).

352100140 is an abundant number, since it is smaller than the sum of its proper divisors (525674324).

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

352100140 is a wasteful number, since it uses less digits than its factorization.

352100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 352100140 is about 18764.3315894811. The cubic root of 352100140 is about 706.1366169824.

Adding to 352100140 its reverse (41001253), we get a palindrome (393101393).

The spelling of 352100140 in words is "three hundred fifty-two million, one hundred thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 101 140 148 185 202 259 370 404 505 518 673 707 740 1010 1036 1295 1346 1414 2020 2590 2692 2828 3365 3535 3737 4711 5180 6730 7070 7474 9422 13460 14140 14948 18685 18844 23555 24901 26159 37370 47110 49802 52318 67973 74740 94220 99604 104636 124505 130795 135946 174307 249010 261590 271892 339865 348614 475811 498020 523180 679730 697228 871535 951622 1359460 1743070 1903244 2379055 2515001 3486140 4758110 5030002 9516220 10060004 12575005 17605007 25150010 35210014 50300020 70420028 88025035 176050070 352100140