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3381746640 = 2435101139511
BaseRepresentation
bin1100100110010001…
…0101101111010000
322201200100112021120
43021210111233100
523411211343030
61315322322240
7146542241436
oct31144255720
98650315246
103381746640
1114859a9338
127a4659380
1341b80471c
142411b8d56
1514bd4e010
hexc9915bd0

3381746640 has 80 divisors (see below), whose sum is σ = 10587286656. Its totient is φ = 892864000.

The previous prime is 3381746639. The next prime is 3381746699. The reversal of 3381746640 is 466471833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33817466402 = 22872420674302579200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3381746592 and 3381746601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45516 + ... + 93995.

Almost surely, 23381746640 is an apocalyptic number.

3381746640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3381746640 is an abundant number, since it is smaller than the sum of its proper divisors (7205540016).

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

3381746640 is a wasteful number, since it uses less digits than its factorization.

3381746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139628 (or 139622 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3381746640 is about 58152.7870355325. The cubic root of 3381746640 is about 1500.9988369577.

The spelling of 3381746640 in words is "three billion, three hundred eighty-one million, seven hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 139511 279022 418533 558044 697555 837066 1116088 1395110 1674132 2092665 2232176 2790220 3348264 4185330 5580440 6696528 8370660 11160880 14090611 16741320 28181222 33482640 42271833 56362444 70453055 84543666 112724888 140906110 169087332 211359165 225449776 281812220 338174664 422718330 563624440 676349328 845436660 1127248880 1690873320 3381746640