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3460968 = 233472109
BaseRepresentation
bin1101001100111101101000
320111211120000
431030331220
51341222333
6202103000
741263200
oct15147550
96454500
103460968
111a54305
1211aaa60
13942414
14661400
15485713
hex34cf68

3460968 has 120 divisors (see below), whose sum is σ = 11380050. Its totient is φ = 979776.

The previous prime is 3460927. The next prime is 3460973. The reversal of 3460968 is 8690643.

It can be written as a sum of positive squares in only one way, i.e., 2683044 + 777924 = 1638^2 + 882^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31698 + ... + 31806.

Almost surely, 23460968 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 3460968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690025).

3460968 is an abundant number, since it is smaller than the sum of its proper divisors (7919082).

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

3460968 is a wasteful number, since it uses less digits than its factorization.

3460968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

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

The square root of 3460968 is about 1860.3677055894. The cubic root of 3460968 is about 151.2629367620.

The spelling of 3460968 in words is "three million, four hundred sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 109 126 147 162 168 189 196 216 218 252 294 324 327 378 392 436 441 504 567 588 648 654 756 763 872 882 981 1134 1176 1308 1323 1512 1526 1764 1962 2268 2289 2616 2646 2943 3052 3528 3924 3969 4536 4578 5292 5341 5886 6104 6867 7848 7938 8829 9156 10584 10682 11772 13734 15876 16023 17658 18312 20601 21364 23544 27468 31752 32046 35316 41202 42728 48069 54936 61803 64092 70632 82404 96138 123606 128184 144207 164808 192276 247212 288414 384552 432621 494424 576828 865242 1153656 1730484 3460968