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2342378430 = 232572924421
BaseRepresentation
bin1000101110011101…
…1101101110111110
320001020121011010200
42023213131232332
514244122102210
61024233144330
7112021613430
oct21347355676
96036534120
102342378430
11aa2236647
1255455b0a6
132b4392452
14183140650
15da9930c0
hex8b9ddbbe

2342378430 has 144 divisors (see below), whose sum is σ = 7210124064. Its totient is φ = 516821760.

The previous prime is 2342378419. The next prime is 2342378447. The reversal of 2342378430 is 348732432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527620 + ... + 532040.

It is an arithmetic number, because the mean of its divisors is an integer number (50070306).

Almost surely, 22342378430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342378430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605062032).

2342378430 is an abundant number, since it is smaller than the sum of its proper divisors (4867745634).

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

2342378430 is a wasteful number, since it uses less digits than its factorization.

2342378430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2342378430 is about 48398.1242405116. The cubic root of 2342378430 is about 1328.0640479192.

The spelling of 2342378430 in words is "two billion, three hundred forty-two million, three hundred seventy-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 841 870 1015 1218 1305 1682 1827 2030 2523 2610 3045 3654 4205 4421 5046 5887 6090 7569 8410 8842 9135 11774 12615 13263 15138 17661 18270 22105 25230 26526 29435 30947 35322 37845 39789 44210 52983 58870 61894 66315 75690 79578 88305 92841 105966 128209 132630 154735 176610 185682 198945 256418 264915 278523 309470 384627 397890 464205 529830 557046 641045 769254 897463 928410 1153881 1282090 1392615 1794926 1923135 2307762 2692389 2785230 3718061 3846270 4487315 5384778 5769405 7436122 8077167 8974630 11154183 11538810 13461945 16154334 18590305 22308366 26026427 26923890 33462549 37180610 40385835 52052854 55770915 66925098 78079281 80771670 111541830 130132135 156158562 167312745 234237843 260264270 334625490 390396405 468475686 780792810 1171189215 2342378430