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234233332432 = 241119139503927
BaseRepresentation
bin1101101000100101100…
…1010000001011010000
3211101121010100011020121
43122021121100023100
512314202213114212
6255334425120024
722631343321631
oct3321131201320
9741533304217
10234233332432
1190379678580
1239490329014
131911b7609b8
14b4a085b888
15615da63d07
hex36896502d0

234233332432 has 80 divisors (see below), whose sum is σ = 524891404800. Its totient is φ = 100140174720.

The previous prime is 234233332393. The next prime is 234233332439.

234233332432 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234233332439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212853 + ... + 716779.

It is an arithmetic number, because the mean of its divisors is an integer number (6561142560).

Almost surely, 2234233332432 is an apocalyptic number.

234233332432 is a gapful number since it is divisible by the number (22) 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 234233332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262445702400).

234233332432 is an abundant number, since it is smaller than the sum of its proper divisors (290658072368).

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

234233332432 is a wasteful number, since it uses less digits than its factorization.

234233332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504104 (or 504098 counting only the distinct ones).

The product of its digits is 186624, while the sum is 34.

It can be divided in two parts, 234233 and 332432, that added together give a palindrome (566665).

The spelling of 234233332432 in words is "two hundred thirty-four billion, two hundred thirty-three million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 139 152 176 209 278 304 418 556 836 1112 1529 1672 2224 2641 3058 3344 5282 6116 10564 12232 21128 24464 29051 42256 58102 116204 232408 464816 503927 1007854 2015708 4031416 5543197 8062832 9574613 11086394 19149226 22172788 38298452 44345576 70045853 76596904 88691152 105320743 140091706 153193808 210641486 280183412 421282972 560366824 770504383 842565944 1120733648 1330871207 1541008766 1685131888 2661742414 3082017532 5323484828 6164035064 10646969656 12328070128 14639583277 21293939312 29279166554 58558333108 117116666216 234233332432