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3423681540 = 2233531204521
BaseRepresentation
bin1100110000010001…
…0011110000000100
322211121021001011000
43030010103300010
524002430302130
61323421213300
7150561545556
oct31404236004
98747231130
103423681540
1114a7640684
127b6701230
134273c7b86
142469b34d6
15150884260
hexcc113c04

3423681540 has 96 divisors (see below), whose sum is σ = 10995102720. Its totient is φ = 883526400.

The previous prime is 3423681517. The next prime is 3423681553. The reversal of 3423681540 is 451863243.

3423681540 is a `hidden beast` number, since 3 + 4 + 2 + 36 + 81 + 540 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3423681495 and 3423681504.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 85521 + ... + 119000.

It is an arithmetic number, because the mean of its divisors is an integer number (114532320).

Almost surely, 23423681540 is an apocalyptic number.

3423681540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3423681540 is an abundant number, since it is smaller than the sum of its proper divisors (7571421180).

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

3423681540 is a wasteful number, since it uses less digits than its factorization.

3423681540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204570 (or 204562 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3423681540 is about 58512.2341053561. The cubic root of 3423681540 is about 1507.1776791646.

The spelling of 3423681540 in words is "three billion, four hundred twenty-three million, six hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 204521 409042 613563 818084 1022605 1227126 1840689 2045210 2454252 3067815 3681378 4090420 5522067 6135630 6340151 7362756 9203445 11044134 12271260 12680302 18406890 19020453 22088268 25360604 27610335 31700755 36813780 38040906 55220670 57061359 63401510 76081812 95102265 110441340 114122718 126803020 171184077 190204530 228245436 285306795 342368154 380409060 570613590 684736308 855920385 1141227180 1711840770 3423681540