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3401032140 = 22325112397187
BaseRepresentation
bin1100101010110111…
…1010000111001100
322210000122100000100
43022231322013030
523431131012030
61321251531100
7150165203412
oct31255720714
98700570010
103401032140
111495880870
127aabb9a90
134227c786c
142439992b2
1514d8ad360
hexcab7a1cc

3401032140 has 144 divisors (see below), whose sum is σ = 11302986240. Its totient is φ = 820928640.

The previous prime is 3401032111. The next prime is 3401032157. The reversal of 3401032140 is 412301043.

3401032140 is a `hidden beast` number, since 340 + 1 + 0 + 321 + 4 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 469627 + ... + 476813.

It is an arithmetic number, because the mean of its divisors is an integer number (78492960).

Almost surely, 23401032140 is an apocalyptic number.

3401032140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651493120).

3401032140 is an abundant number, since it is smaller than the sum of its proper divisors (7901954100).

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

3401032140 is a wasteful number, since it uses less digits than its factorization.

3401032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401032140 is about 58318.3688043484. The cubic root of 3401032140 is about 1503.8467399616.

Adding to 3401032140 its reverse (412301043), we get a palindrome (3813333183).

It can be divided in two parts, 340103 and 2140, that added together give a palindrome (342243).

The spelling of 3401032140 in words is "three billion, four hundred one million, thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 239 330 396 478 495 660 717 956 990 1195 1434 1980 2151 2390 2629 2868 3585 4302 4780 5258 7170 7187 7887 8604 10516 10755 13145 14340 14374 15774 21510 21561 23661 26290 28748 31548 35935 39435 43020 43122 47322 52580 64683 71870 78870 79057 86244 94644 107805 118305 129366 143740 157740 158114 215610 236610 237171 258732 316228 323415 395285 431220 473220 474342 646830 711513 790570 948684 1185855 1293660 1423026 1581140 1717693 2371710 2846052 3435386 3557565 4743420 5153079 6870772 7115130 8588465 10306158 14230260 15459237 17176930 18894623 20612316 25765395 30918474 34353860 37789246 51530790 56683869 61836948 75578492 77296185 94473115 103061580 113367738 154592370 170051607 188946230 226735476 283419345 309184740 340103214 377892460 566838690 680206428 850258035 1133677380 1700516070 3401032140