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345061704 = 233133771421
BaseRepresentation
bin10100100100010…
…011100101001000
3220001021221200010
4110210103211020
51201313433304
654123511520
711356655541
oct2444234510
9801257603
10345061704
11167861a69
12976885a0
1356647530
1433b834c8
1520460789
hex14913948

345061704 has 128 divisors (see below), whose sum is σ = 969857280. Its totient is φ = 101606400.

The previous prime is 345061697. The next prime is 345061711. The reversal of 345061704 is 407160543.

It is an interprime number because it is at equal distance from previous prime (345061697) and next prime (345061711).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819414 + ... + 819834.

It is an arithmetic number, because the mean of its divisors is an integer number (7577010).

Almost surely, 2345061704 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 345061704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484928640).

345061704 is an abundant number, since it is smaller than the sum of its proper divisors (624795576).

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

345061704 is a wasteful number, since it uses less digits than its factorization.

345061704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 345061704 is about 18575.8365625885. The cubic root of 345061704 is about 701.3997189863.

It can be divided in two parts, 34506 and 1704, that multiplied together give a square (58798224 = 76682).

The spelling of 345061704 in words is "three hundred forty-five million, sixty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 71 74 78 104 111 142 148 156 213 222 284 296 312 421 426 444 481 568 842 852 888 923 962 1263 1443 1684 1704 1846 1924 2526 2627 2769 2886 3368 3692 3848 5052 5254 5473 5538 5772 7384 7881 10104 10508 10946 11076 11544 15577 15762 16419 21016 21892 22152 29891 31154 31524 32838 34151 43784 46731 59782 62308 63048 65676 68302 89673 93462 102453 119564 124616 131352 136604 179346 186924 202501 204906 239128 273208 358692 373848 388583 405002 409812 607503 717384 777166 810004 819624 1105967 1165749 1215006 1554332 1620008 2211934 2331498 2430012 3108664 3317901 4423868 4662996 4860024 6635802 8847736 9325992 13271604 14377571 26543208 28755142 43132713 57510284 86265426 115020568 172530852 345061704