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234235296 = 25324183239
BaseRepresentation
bin11011111011000…
…10010110100000
3121022202101102100
431331202112200
5434431012141
635124250400
75542652511
oct1575422640
9538671370
10234235296
11110246499
1266540a00
13396b2c89
1423174a08
151586d0b6
hexdf625a0

234235296 has 144 divisors (see below), whose sum is σ = 693463680. Its totient is φ = 74941440.

The previous prime is 234235259. The next prime is 234235307. The reversal of 234235296 is 692532432.

It is a happy number.

234235296 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 234235296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979945 + ... + 980183.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2234235296 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 234235296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

234235296 is an abundant number, since it is smaller than the sum of its proper divisors (459228384).

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

234235296 is a wasteful number, since it uses less digits than its factorization.

234235296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 234235296 is about 15304.7474987338. The cubic root of 234235296 is about 616.4304912329.

The spelling of 234235296 in words is "two hundred thirty-four million, two hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 83 96 123 144 164 166 239 246 249 288 328 332 369 478 492 498 656 664 717 738 747 956 984 996 1312 1328 1434 1476 1494 1912 1968 1992 2151 2656 2868 2952 2988 3403 3824 3936 3984 4302 5736 5904 5976 6806 7648 7968 8604 9799 10209 11472 11808 11952 13612 17208 19598 19837 20418 22944 23904 27224 29397 30627 34416 39196 39674 40836 54448 58794 59511 61254 68832 78392 79348 81672 88191 108896 117588 119022 122508 156784 158696 163344 176382 178533 235176 238044 245016 313568 317392 326688 352764 357066 470352 476088 490032 634784 705528 714132 813317 940704 952176 980064 1411056 1428264 1626634 1904352 2439951 2822112 2856528 3253268 4879902 5713056 6506536 7319853 9759804 13013072 14639706 19519608 26026144 29279412 39039216 58558824 78078432 117117648 234235296