Search a number
-
+
3540214132 = 227313732719
BaseRepresentation
bin1101001100000011…
…0110000101110100
3100010201112111210221
43103000312011310
524222243323012
61343143024124
7153505216000
oct32300660564
910121474727
103540214132
1115573a4304
1282973b044
134455a9780
14258269700
1515ac02507
hexd3036174

3540214132 has 96 divisors (see below), whose sum is σ = 7890176000. Its totient is φ = 1380830976.

The previous prime is 3540214109. The next prime is 3540214193. The reversal of 3540214132 is 2314120453.

It is a super-3 number, since 3×35402141323 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3540214097 and 3540214106.

It is a congruent number.

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, 1300669 + ... + 1303387.

Almost surely, 23540214132 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 3540214132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945088000).

3540214132 is an abundant number, since it is smaller than the sum of its proper divisors (4349961868).

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

3540214132 is a wasteful number, since it uses less digits than its factorization.

3540214132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3540214132 is about 59499.6985874719. The cubic root of 3540214132 is about 1524.0872986368.

Adding to 3540214132 its reverse (2314120453), we get a palindrome (5854334585).

The spelling of 3540214132 in words is "three billion, five hundred forty million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 73 91 98 146 182 196 292 343 364 511 637 686 949 1022 1274 1372 1898 2044 2548 2719 3577 3796 4459 5438 6643 7154 8918 10876 13286 14308 17836 19033 25039 26572 35347 38066 46501 50078 70694 76132 93002 100156 133231 141388 186004 198487 247429 266462 325507 396974 494858 532924 651014 793948 932617 989716 1302028 1389409 1732003 1865234 2580331 2778818 3464006 3730468 5160662 5557636 6928012 9725863 10321324 12124021 18062317 19451726 24248042 36124634 38903452 48496084 68081041 72249268 126436219 136162082 252872438 272324164 505744876 885053533 1770107066 3540214132