Search a number
-
+
34010354232 = 2332835719967
BaseRepresentation
bin11111101011001011…
…001101001000111000
310020210020111000011100
4133223023031020320
51024123122313412
623342451531400
72312544145461
oct375313151070
9106706430140
1034010354232
1113472a5a578
126711bb9b60
1332901a067a
141908cd5d68
15d40c46edc
hex7eb2cd238

34010354232 has 96 divisors (see below), whose sum is σ = 93393780480. Its totient is φ = 11179460160.

The previous prime is 34010354221. The next prime is 34010354233. The reversal of 34010354232 is 23245301043.

It is a super-2 number, since 2×340103542322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34010354196 and 34010354205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010354233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3407313 + ... + 3417279.

It is an arithmetic number, because the mean of its divisors is an integer number (972851880).

Almost surely, 234010354232 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 34010354232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46696890240).

34010354232 is an abundant number, since it is smaller than the sum of its proper divisors (59383426248).

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

34010354232 is a wasteful number, since it uses less digits than its factorization.

34010354232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10626 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34010354232 its reverse (23245301043), we get a palindrome (57255655275).

The spelling of 34010354232 in words is "thirty-four billion, ten million, three hundred fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 571 664 747 996 1142 1494 1713 1992 2284 2988 3426 4568 5139 5976 6852 9967 10278 13704 19934 20556 29901 39868 41112 47393 59802 79736 89703 94786 119604 142179 179406 189572 239208 284358 358812 379144 426537 568716 717624 827261 853074 1137432 1654522 1706148 2481783 3309044 3412296 4963566 5691157 6618088 7445349 9927132 11382314 14890698 17073471 19854264 22764628 29781396 34146942 45529256 51220413 59562792 68293884 102440826 136587768 204881652 409763304 472366031 944732062 1417098093 1889464124 2834196186 3778928248 4251294279 5668392372 8502588558 11336784744 17005177116 34010354232