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427341096 = 23347137247
BaseRepresentation
bin11001011110001…
…011010100101000
31002210010011210000
4121132023110220
51333344403341
6110223223000
713406224260
oct3136132450
91083104700
10427341096
111aa24a766
12bb147a60
136a6c5270
1440a807a0
15277b48b6
hex1978b528

427341096 has 160 divisors (see below), whose sum is σ = 1473373440. Its totient is φ = 112689792.

The previous prime is 427341049. The next prime is 427341133. The reversal of 427341096 is 690143724.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 427341096.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55345 + ... + 62591.

It is an arithmetic number, because the mean of its divisors is an integer number (9208584).

Almost surely, 2427341096 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 427341096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736686720).

427341096 is an abundant number, since it is smaller than the sum of its proper divisors (1046032344).

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

427341096 is a wasteful number, since it uses less digits than its factorization.

427341096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7285 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 427341096 is about 20672.2300683792. The cubic root of 427341096 is about 753.2252782253.

It can be divided in two parts, 4273 and 41096, that added together give a square (45369 = 2132).

The spelling of 427341096 in words is "four hundred twenty-seven million, three hundred forty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7247 7371 8424 9828 14494 14742 19656 21741 28988 29484 43482 50729 57976 58968 65223 86964 94211 101458 130446 152187 173928 188422 195669 202916 260892 282633 304374 376844 391338 405832 456561 521784 565266 587007 608748 659477 753688 782676 847899 913122 1130532 1174014 1217496 1318954 1369683 1565352 1695798 1826244 1978431 2261064 2348028 2543697 2637908 2739366 3391596 3652488 3956862 4109049 4696056 5087394 5275816 5478732 5935293 6783192 7631091 7913724 8218098 10174788 10957464 11870586 15262182 15827448 16436196 17805879 20349576 23741172 30524364 32872392 35611758 47482344 53417637 61048728 71223516 106835274 142447032 213670548 427341096