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346030542 = 23511132383
BaseRepresentation
bin10100101000000…
…000000111001110
3220010010011200000
4110220000013032
51202040434132
654200345130
711401132254
oct2450000716
9803104600
10346030542
11168363960
1297a751a6
13568c6500
1433d565d4
15205a287c
hex14a001ce

346030542 has 144 divisors (see below), whose sum is σ = 920844288. Its totient is φ = 96539040.

The previous prime is 346030537. The next prime is 346030547. The reversal of 346030542 is 245030643.

346030542 is a `hidden beast` number, since 3 + 4 + 603 + 0 + 54 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (346030537) and next prime (346030547).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346030547) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 903283 + ... + 903665.

It is an arithmetic number, because the mean of its divisors is an integer number (6394752).

Almost surely, 2346030542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346030542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460422144).

346030542 is an abundant number, since it is smaller than the sum of its proper divisors (574813746).

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

346030542 is a wasteful number, since it uses less digits than its factorization.

346030542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 346030542 is about 18601.8961936680. The cubic root of 346030542 is about 702.0555511595.

The spelling of 346030542 in words is "three hundred forty-six million, thirty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 169 198 234 243 286 297 338 351 383 429 486 507 594 702 766 858 891 1014 1053 1149 1287 1521 1782 1859 2106 2298 2574 2673 3042 3159 3447 3718 3861 4213 4563 4979 5346 5577 6318 6894 7722 8426 9126 9958 10341 11154 11583 12639 13689 14937 16731 20682 23166 25278 27378 29874 31023 33462 34749 37917 41067 44811 50193 54769 62046 64727 69498 75834 82134 89622 93069 100386 109538 113751 129454 134433 150579 164307 186138 194181 227502 268866 301158 328614 341253 388362 403299 451737 492921 582543 682506 711997 806598 903474 985842 1023759 1165086 1209897 1423994 1478763 1747629 2047518 2135991 2419794 2957526 3495258 4271982 4436289 5242887 6407973 8872578 10485774 12815946 13308867 15728661 19223919 26617734 31457322 38447838 57671757 115343514 173015271 346030542