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2348233056 = 2532135771087
BaseRepresentation
bin1000101111110111…
…0011000101100000
320001122121121011200
42023331303011200
514302121424211
61025002441200
7112122436341
oct21375630540
96048547150
102348233056
11aa5575284
12556503200
132b5662220
14183c260c8
15db24cb56
hex8bf73160

2348233056 has 144 divisors (see below), whose sum is σ = 7210554624. Its totient is φ = 720617472.

The previous prime is 2348233031. The next prime is 2348233073. The reversal of 2348233056 is 6503328432.

It is a happy number.

2348233056 is a `hidden beast` number, since 2 + 348 + 2 + 3 + 305 + 6 = 666.

2348233056 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 (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 2348233056.

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, 2159745 + ... + 2160831.

It is an arithmetic number, because the mean of its divisors is an integer number (50073296).

Almost surely, 22348233056 is an apocalyptic number.

2348233056 is a gapful number since it is divisible by the number (26) 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 2348233056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605277312).

2348233056 is an abundant number, since it is smaller than the sum of its proper divisors (4862321568).

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

2348233056 is a wasteful number, since it uses less digits than its factorization.

2348233056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2348233056 is about 48458.5705113141. The cubic root of 2348233056 is about 1329.1695979041.

The spelling of 2348233056 in words is "two billion, three hundred forty-eight million, two hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 577 624 936 1087 1154 1248 1731 1872 2174 2308 3261 3462 3744 4348 4616 5193 6522 6924 7501 8696 9232 9783 10386 13044 13848 14131 15002 17392 18464 19566 20772 22503 26088 27696 28262 30004 34784 39132 41544 42393 45006 52176 55392 56524 60008 67509 78264 83088 84786 90012 104352 113048 120016 127179 135018 156528 166176 169572 180024 226096 240032 254358 270036 313056 339144 360048 452192 508716 540072 627199 678288 720096 1017432 1080144 1254398 1356576 1881597 2034864 2160288 2508796 3763194 4069728 5017592 5644791 7526388 8153587 10035184 11289582 15052776 16307174 20070368 22579164 24460761 30105552 32614348 45158328 48921522 60211104 65228696 73382283 90316656 97843044 130457392 146764566 180633312 195686088 260914784 293529132 391372176 587058264 782744352 1174116528 2348233056