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352542540 = 223573127077
BaseRepresentation
bin10101000000110…
…101111101001100
3220120101000110010
4111000311331030
51210222330130
654552113220
711510363550
oct2500657514
9816330403
10352542540
11171001479
129a095810
135806656c
1434b6d860
1520e3c0b0
hex15035f4c

352542540 has 96 divisors (see below), whose sum is σ = 1164570624. Its totient is φ = 77978880.

The previous prime is 352542539. The next prime is 352542601. The reversal of 352542540 is 45245253.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 352542498 and 352542507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519 + ... + 26558.

It is an arithmetic number, because the mean of its divisors is an integer number (12130944).

Almost surely, 2352542540 is an apocalyptic number.

352542540 is a gapful number since it is divisible by the number (30) 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 352542540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582285312).

352542540 is an abundant number, since it is smaller than the sum of its proper divisors (812028084).

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

352542540 is a wasteful number, since it uses less digits than its factorization.

352542540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27127 (or 27125 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 352542540 is about 18776.1162118261. The cubic root of 352542540 is about 706.4322375155.

Adding to 352542540 its reverse (45245253), we get a palindrome (397787793).

The spelling of 352542540 in words is "three hundred fifty-two million, five hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 6510 13020 27077 54154 81231 108308 135385 162462 189539 270770 324924 379078 406155 541540 568617 758156 812310 839387 947695 1137234 1624620 1678774 1895390 2274468 2518161 2843085 3357548 3790780 4196935 5036322 5686170 5875709 8393870 10072644 11372340 11751418 12590805 16787740 17627127 23502836 25181610 29378545 35254254 50363220 58757090 70508508 88135635 117514180 176271270 352542540