Search a number
-
+
32234102440 = 2358355717431
BaseRepresentation
bin11110000001010011…
…010101111010101000
310002012110011001202221
4132001103111322220
51012003412234230
622450320403424
72220535231021
oct360123257250
9102173131687
1032234102440
1112741346291
1262b7176574
1330691a6ac7
1417bb041c48
15c89d3027a
hex7814d5ea8

32234102440 has 64 divisors (see below), whose sum is σ = 73536543360. Its totient is φ = 12714696960.

The previous prime is 32234102423. The next prime is 32234102507. The reversal of 32234102440 is 4420143223.

It is a happy number.

It is a super-2 number, since 2×322341024402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1840525 + ... + 1857955.

It is an arithmetic number, because the mean of its divisors is an integer number (1149008490).

Almost surely, 232234102440 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 32234102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36768271680).

32234102440 is an abundant number, since it is smaller than the sum of its proper divisors (41302440920).

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

32234102440 is a wasteful number, since it uses less digits than its factorization.

32234102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18082 (or 18078 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 32234102440 its reverse (4420143223), we get a palindrome (36654245663).

The spelling of 32234102440 in words is "thirty-two billion, two hundred thirty-four million, one hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 557 664 830 1114 1660 2228 2785 3320 4456 5570 11140 17431 22280 34862 46231 69724 87155 92462 139448 174310 184924 231155 348620 369848 462310 697240 924620 1446773 1849240 2893546 5787092 7233865 9709067 11574184 14467730 19418134 28935460 38836268 48545335 57870920 77672536 97090670 194181340 388362680 805852561 1611705122 3223410244 4029262805 6446820488 8058525610 16117051220 32234102440