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348390612 = 223319412101
BaseRepresentation
bin10100110001000…
…000010011010100
3220021120002002000
4110301000103110
51203141444422
654323115300
711430162033
oct2461002324
9807502060
10348390612
11169726029
1298812b30
13572417bb
14343ac71a
15208bbcac
hex14c404d4

348390612 has 144 divisors (see below), whose sum is σ = 984177600. Its totient is φ = 106272000.

The previous prime is 348390611. The next prime is 348390641. The reversal of 348390612 is 216093843.

348390612 is a `hidden beast` number, since 3 + 4 + 8 + 39 + 0 + 612 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348390611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3449362 + ... + 3449462.

Almost surely, 2348390612 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 348390612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492088800).

348390612 is an abundant number, since it is smaller than the sum of its proper divisors (635786988).

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

348390612 is a wasteful number, since it uses less digits than its factorization.

348390612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 348390612 is about 18665.2246704935. The cubic root of 348390612 is about 703.6480382764.

The spelling of 348390612 in words is "three hundred forty-eight million, three hundred ninety thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 41 54 57 76 82 101 108 114 123 164 171 202 228 246 303 342 369 404 492 513 606 684 738 779 909 1026 1107 1212 1476 1558 1681 1818 1919 2052 2214 2337 2727 3116 3362 3636 3838 4141 4428 4674 5043 5454 5757 6724 7011 7676 8282 9348 10086 10908 11514 12423 14022 15129 16564 17271 20172 21033 23028 24846 28044 30258 31939 34542 37269 42066 45387 49692 51813 60516 63878 69084 74538 78679 84132 90774 95817 103626 111807 127756 149076 157358 169781 181548 191634 207252 223614 236037 287451 314716 339562 383268 447228 472074 509343 574902 679124 708111 862353 944148 1018686 1149804 1416222 1528029 1724706 2037372 2124333 2832444 3056058 3225839 3449412 4248666 4584087 6112116 6451678 8497332 9168174 9677517 12903356 18336348 19355034 29032551 38710068 58065102 87097653 116130204 174195306 348390612