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234029952 = 2733135209
BaseRepresentation
bin11011111001100…
…00001110000000
3121022100221202000
431330300032000
5434402424302
635120024000
75541136032
oct1574601600
9538327660
10234029952
11110116192
1266462000
1339640680
142311dc52
151582c31c
hexdf30380

234029952 has 128 divisors (see below), whose sum is σ = 743988000. Its totient is φ = 71995392.

The previous prime is 234029911. The next prime is 234029969. The reversal of 234029952 is 259920432.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42324 + ... + 47532.

Almost surely, 2234029952 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 234029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371994000).

234029952 is an abundant number, since it is smaller than the sum of its proper divisors (509958048).

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

234029952 is a wasteful number, since it uses less digits than its factorization.

234029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 234029952 is about 15298.0375211986. The cubic root of 234029952 is about 616.2503058778.

The spelling of 234029952 in words is "two hundred thirty-four million, twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5209 5616 7488 10418 11232 14976 15627 20836 22464 31254 41672 44928 46881 62508 67717 83344 93762 125016 135434 140643 166688 187524 203151 250032 270868 281286 333376 375048 406302 500064 541736 562572 609453 666752 750096 812604 1000128 1083472 1125144 1218906 1500192 1625208 1828359 2000256 2166944 2250288 2437812 3000384 3250416 3656718 4333888 4500576 4875624 6000768 6500832 7313436 8667776 9001152 9751248 13001664 14626872 18002304 19502496 26003328 29253744 39004992 58507488 78009984 117014976 234029952