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234426240 = 2732540699
BaseRepresentation
bin11011111100100…
…00111110000000
3121100010002100100
431332100332000
5440003114430
635132322400
75544406266
oct1576207600
9540102310
10234426240
111103669a4
1266613400
133974bb69
14231c4436
15158a9960
hexdf90f80

234426240 has 96 divisors (see below), whose sum is σ = 809523000. Its totient is φ = 62512128.

The previous prime is 234426223. The next prime is 234426251. The reversal of 234426240 is 42624432.

234426240 is a `hidden beast` number, since 2 + 34 + 4 + 2 + 624 + 0 = 666.

234426240 is digitally balanced in base 2, because in such base 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14590 + ... + 26109.

Almost surely, 2234426240 is an apocalyptic number.

234426240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234426240 is an abundant number, since it is smaller than the sum of its proper divisors (575096760).

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

234426240 is a wasteful number, since it uses less digits than its factorization.

234426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40724 (or 40709 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 234426240 is about 15310.9842923308. The cubic root of 234426240 is about 616.5979464044.

The spelling of 234426240 in words is "two hundred thirty-four million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 40699 81398 122097 162796 203495 244194 325592 366291 406990 488388 610485 651184 732582 813980 976776 1220970 1302368 1465164 1627960 1831455 1953552 2441940 2604736 2930328 3255920 3662910 3907104 4883880 5209472 5860656 6511840 7325820 7814208 9767760 11721312 13023680 14651640 15628416 19535520 23442624 26047360 29303280 39071040 46885248 58606560 78142080 117213120 234426240