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234367380 = 2232513472131
BaseRepresentation
bin11011111100000…
…10100110010100
3121100000002121100
431332002212110
5434444224010
635131150100
75544042552
oct1576024624
9540002540
10234367380
11110326755
12665a5330
133972b130
14231aabd2
15158972c0
hexdf82994

234367380 has 144 divisors (see below), whose sum is σ = 782256384. Its totient is φ = 56436480.

The previous prime is 234367351. The next prime is 234367403. The reversal of 234367380 is 83763432.

234367380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 108915 + ... + 111045.

It is an arithmetic number, because the mean of its divisors is an integer number (5432336).

Almost surely, 2234367380 is an apocalyptic number.

234367380 is a gapful number since it is divisible by the number (20) 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 234367380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391128192).

234367380 is an abundant number, since it is smaller than the sum of its proper divisors (547889004).

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

234367380 is a wasteful number, since it uses less digits than its factorization.

234367380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 234367380 is about 15309.0620222142. The cubic root of 234367380 is about 616.5463367196.

The spelling of 234367380 in words is "two hundred thirty-four million, three hundred sixty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 117 130 141 156 180 188 195 234 235 260 282 390 423 468 470 564 585 611 705 780 846 940 1170 1222 1410 1692 1833 2115 2131 2340 2444 2820 3055 3666 4230 4262 5499 6110 6393 7332 8460 8524 9165 10655 10998 12220 12786 18330 19179 21310 21996 25572 27495 27703 31965 36660 38358 42620 54990 55406 63930 76716 83109 95895 100157 109980 110812 127860 138515 166218 191790 200314 249327 277030 300471 332436 383580 400628 415545 498654 500785 554060 600942 831090 901413 997308 1001570 1201884 1246635 1302041 1502355 1662180 1802826 2003140 2493270 2604082 3004710 3605652 3906123 4507065 4986540 5208164 6009420 6510205 7812246 9014130 11718369 13020410 15624492 18028260 19530615 23436738 26040820 39061230 46873476 58591845 78122460 117183690 234367380