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3401103312 = 243261675779
BaseRepresentation
bin1100101010111000…
…1011011111010000
322210000202221122100
43022232023133100
523431140301222
61321253240400
7150165621045
oct31256133720
98700687570
103401103312
11149591a292
127ab033100
13422821089
142439b71cc
1514d8c44ac
hexcab8b7d0

3401103312 has 120 divisors (see below), whose sum is σ = 9820497440. Its totient is φ = 1098282240.

The previous prime is 3401103287. The next prime is 3401103331. The reversal of 3401103312 is 2133011043.

3401103312 is a `hidden beast` number, since 340 + 1 + 10 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585639 + ... + 591417.

Almost surely, 23401103312 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 3401103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910248720).

3401103312 is an abundant number, since it is smaller than the sum of its proper divisors (6419394128).

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

3401103312 is a wasteful number, since it uses less digits than its factorization.

3401103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3401103312 is about 58318.9790034085. The cubic root of 3401103312 is about 1503.8572300157.

Adding to 3401103312 its reverse (2133011043), we get a palindrome (5534114355).

The spelling of 3401103312 in words is "three billion, four hundred one million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 67 72 122 134 144 183 201 244 268 366 402 488 536 549 603 732 804 976 1072 1098 1206 1464 1608 2196 2412 2928 3216 4087 4392 4824 5779 8174 8784 9648 11558 12261 16348 17337 23116 24522 32696 34674 36783 46232 49044 52011 65392 69348 73566 92464 98088 104022 138696 147132 196176 208044 277392 294264 352519 387193 416088 588528 705038 774386 832176 1057557 1161579 1410076 1548772 2115114 2323158 2820152 3097544 3172671 3484737 4230228 4646316 5640304 6195088 6345342 6969474 8460456 9292632 12690684 13938948 16920912 18585264 23618773 25381368 27877896 47237546 50762736 55755792 70856319 94475092 141712638 188950184 212568957 283425276 377900368 425137914 566850552 850275828 1133701104 1700551656 3401103312