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2354130328 = 2311313783281
BaseRepresentation
bin1000110001010001…
…0010110110011000
320002001201012201011
42030110102312120
514310124132303
61025333103304
7112223530504
oct21424226630
96061635634
102354130328
11aa8932a60
12558487b34
132b6948534
1418491d304
15dba1516d
hex8c512d98

2354130328 has 128 divisors (see below), whose sum is σ = 5184829440. Its totient is φ = 991872000.

The previous prime is 2354130323. The next prime is 2354130341. The reversal of 2354130328 is 8230314532.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 2354130328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2354130323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8377548 + ... + 8377828.

It is an arithmetic number, because the mean of its divisors is an integer number (40506480).

Almost surely, 22354130328 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 2354130328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592414720).

2354130328 is an abundant number, since it is smaller than the sum of its proper divisors (2830699112).

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

2354130328 is a wasteful number, since it uses less digits than its factorization.

2354130328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2354130328 is about 48519.3809523576. The cubic root of 2354130328 is about 1330.2813447434.

The spelling of 2354130328 in words is "two billion, three hundred fifty-four million, one hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 31 37 44 62 74 83 88 124 148 166 248 281 296 332 341 407 562 664 682 814 913 1124 1147 1364 1628 1826 2248 2294 2573 2728 3071 3091 3256 3652 4588 5146 6142 6182 7304 8711 9176 10292 10397 12284 12364 12617 17422 20584 20794 23323 24568 24728 25234 28303 33781 34844 41588 46646 50468 56606 67562 69688 83176 93292 95201 95821 100936 113212 114367 135124 186584 190402 191642 226424 228734 256553 270248 322307 380804 383284 457468 513106 644614 723013 761608 766568 862951 914936 1026212 1047211 1289228 1446026 1725902 2052424 2094422 2578456 2892052 3451804 3545377 4188844 5784104 6903608 7090754 7953143 8377688 9492461 14181508 15906286 18984922 26751481 28363016 31812572 37969844 53502962 63625144 75939688 107005924 214011848 294266291 588532582 1177065164 2354130328