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3375048320 = 27571017459
BaseRepresentation
bin1100100100101011…
…0010011010000000
322201012202012220122
43021022302122000
523403003021240
61314522555412
7146431303010
oct31112623200
98635665818
103375048320
111482143836
127a2368b68
1341a2ca917
14240353c40
1514b4794b5
hexc92b2680

3375048320 has 128 divisors (see below), whose sum is σ = 9313660800. Its totient is φ = 1145548800.

The previous prime is 3375048317. The next prime is 3375048323. The reversal of 3375048320 is 238405733.

It is an interprime number because it is at equal distance from previous prime (3375048317) and next prime (3375048323).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33750483202 = 22781902324669644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3375048323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448751 + ... + 456209.

It is an arithmetic number, because the mean of its divisors is an integer number (72762975).

Almost surely, 23375048320 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 3375048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656830400).

3375048320 is an abundant number, since it is smaller than the sum of its proper divisors (5938612480).

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

3375048320 is a wasteful number, since it uses less digits than its factorization.

3375048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7574 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 3375048320 is about 58095.1660639678. The cubic root of 3375048320 is about 1500.0071584844.

The spelling of 3375048320 in words is "three billion, three hundred seventy-five million, forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 128 140 160 202 224 280 320 404 448 505 560 640 707 808 896 1010 1120 1414 1616 2020 2240 2828 3232 3535 4040 4480 5656 6464 7070 7459 8080 11312 12928 14140 14918 16160 22624 28280 29836 32320 37295 45248 52213 56560 59672 64640 74590 90496 104426 113120 119344 149180 208852 226240 238688 261065 298360 417704 452480 477376 522130 596720 753359 835408 954752 1044260 1193440 1506718 1670816 2088520 2386880 3013436 3341632 3766795 4177040 4773760 5273513 6026872 6683264 7533590 8354080 10547026 12053744 15067180 16708160 21094052 24107488 26367565 30134360 33416320 42188104 48214976 52735130 60268720 84376208 96429952 105470260 120537440 168752416 210940520 241074880 337504832 421881040 482149760 675009664 843762080 1687524160 3375048320