Search a number
-
+
348795408 = 243132332399
BaseRepresentation
bin10100110010100…
…011001000010000
3220022022122100110
4110302203020100
51203242423113
654335521320
711433466143
oct2462431020
9808278313
10348795408
11169982175
1298989240
1357353b20
143447605a
152094bbc3
hex14ca3210

348795408 has 80 divisors (see below), whose sum is σ = 974937600. Its totient is φ = 106816512.

The previous prime is 348795397. The next prime is 348795427. The reversal of 348795408 is 804597843.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144193 + ... + 146591.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2348795408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348795408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

348795408 is an abundant number, since it is smaller than the sum of its proper divisors (626142192).

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

348795408 is a wasteful number, since it uses less digits than its factorization.

348795408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 348795408 is about 18676.0651101885. The cubic root of 348795408 is about 703.9204563193.

The spelling of 348795408 in words is "three hundred forty-eight million, seven hundred ninety-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 233 312 466 624 699 932 1398 1864 2399 2796 3029 3728 4798 5592 6058 7197 9087 9596 11184 12116 14394 18174 19192 24232 28788 31187 36348 38384 48464 57576 62374 72696 93561 115152 124748 145392 187122 249496 374244 498992 558967 748488 1117934 1496976 1676901 2235868 3353802 4471736 6707604 7266571 8943472 13415208 14533142 21799713 26830416 29066284 43599426 58132568 87198852 116265136 174397704 348795408