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350492436 = 223274133923
BaseRepresentation
bin10100111001000…
…001011100010100
3220102111212020100
4110321001130110
51204211224221
654440134100
711454064560
oct2471013424
9812455210
10350492436
1116a931178
1299467330
13577c9398
14347986a0
1520b84926
hex14e41714

350492436 has 72 divisors (see below), whose sum is σ = 1037260224. Its totient is φ = 97695360.

The previous prime is 350492407. The next prime is 350492437. The reversal of 350492436 is 634294053.

350492436 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 350492436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350492437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6630 + ... + 27293.

It is an arithmetic number, because the mean of its divisors is an integer number (14406392).

Almost surely, 2350492436 is an apocalyptic number.

350492436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

350492436 is an abundant number, since it is smaller than the sum of its proper divisors (686767788).

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

350492436 is a wasteful number, since it uses less digits than its factorization.

350492436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33981 (or 33976 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 350492436 is about 18721.4432135987. The cubic root of 350492436 is about 705.0602272374.

The spelling of 350492436 in words is "three hundred fifty million, four hundred ninety-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 33923 67846 101769 135692 203538 237461 305307 407076 474922 610614 712383 949844 1221228 1390843 1424766 2137149 2781686 2849532 4172529 4274298 5563372 8345058 8548596 9735901 12517587 16690116 19471802 25035174 29207703 38943604 50070348 58415406 87623109 116830812 175246218 350492436