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350003742 = 231123972377
BaseRepresentation
bin10100110111001…
…010001000011110
3220101121000212120
4110313022020132
51204100104432
654421443410
711446661034
oct2467121036
9811530776
10350003742
1116a627aa0
1299270566
1357687b0a
14346ac554
1520ad9c2c
hex14dca21e

350003742 has 64 divisors (see below), whose sum is σ = 805400064. Its totient is φ = 100362240.

The previous prime is 350003729. The next prime is 350003743. The reversal of 350003742 is 247300053.

350003742 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350003743) 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, 146058 + ... + 148434.

It is an arithmetic number, because the mean of its divisors is an integer number (12584376).

Almost surely, 2350003742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350003742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402700032).

350003742 is an abundant number, since it is smaller than the sum of its proper divisors (455396322).

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

350003742 is a wasteful number, since it uses less digits than its factorization.

350003742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513.

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 350003742 is about 18708.3869427591. The cubic root of 350003742 is about 704.7323847206.

Adding to 350003742 its reverse (247300053), we get a palindrome (597303795).

The spelling of 350003742 in words is "three hundred fifty million, three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 97 138 194 253 291 506 582 759 1067 1518 2134 2231 2377 3201 4462 4754 6402 6693 7131 13386 14262 24541 26147 49082 52294 54671 73623 78441 109342 147246 156882 164013 230569 328026 461138 601381 691707 1202762 1383414 1804143 2536259 3608286 5072518 5303087 7608777 10606174 15217554 15909261 31818522 58333957 116667914 175001871 350003742