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348313644 = 223273144587
BaseRepresentation
bin10100110000101…
…101100000101100
3220021102011111100
4110300231200230
51203132014034
654321323100
711426421450
oct2460554054
9807364440
10348313644
11169683218
1298796490
1357215763
143438c660
15208a4099
hex14c2d82c

348313644 has 72 divisors (see below), whose sum is σ = 1038722048. Its totient is φ = 96305760.

The previous prime is 348313627. The next prime is 348313657. The reversal of 348313644 is 446313843.

It is a happy number.

348313644 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 1 + 3 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 348313599 and 348313608.

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, 14482 + ... + 30105.

Almost surely, 2348313644 is an apocalyptic number.

It is an amenable number.

348313644 is an abundant number, since it is smaller than the sum of its proper divisors (690408404).

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

348313644 is a wasteful number, since it uses less digits than its factorization.

348313644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44635 (or 44630 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 348313644 is about 18663.1627544744. The cubic root of 348313644 is about 703.5962167777.

The spelling of 348313644 in words is "three hundred forty-eight million, three hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 44587 89174 133761 178348 267522 312109 401283 535044 624218 802566 936327 1248436 1382197 1605132 1872654 2764394 2808981 3745308 4146591 5528788 5617962 8293182 9675379 11235924 12439773 16586364 19350758 24879546 29026137 38701516 49759092 58052274 87078411 116104548 174156822 348313644