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3370896 = 2436172
BaseRepresentation
bin1100110110111110010000
320100021000000
430312332100
51330332041
6200130000
740436454
oct14667620
96307000
103370896
1119a2671
121166900
13910419
1463a664
15468bb6
hex336f90

3370896 has 105 divisors (see below), whose sum is σ = 10402081. Its totient is φ = 1057536.

The previous prime is 3370883. The next prime is 3370907. The reversal of 3370896 is 6980733.

The square root of 3370896 is 1836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2624400 + 746496 = 1620^2 + 864^2 .

It is a super-2 number, since 2×33708962 = 22725879685632, which contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3370896.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 198280 + ... + 198296.

Almost surely, 23370896 is an apocalyptic number.

3370896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3370896 is the 1836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3370896

3370896 is an abundant number, since it is smaller than the sum of its proper divisors (7031185).

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

3370896 is an equidigital number, since it uses as much as digits as its factorization.

3370896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 3370896 is about 149.9391753391.

Multiplying 3370896 by its sum of digits (36), we get a square (121352256 = 110162).

3370896 divided by its sum of digits (36) gives a square (93636 = 3062).

The spelling of 3370896 in words is "three million, three hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 289 306 324 408 432 459 486 578 612 648 729 816 867 918 972 1156 1224 1296 1377 1458 1734 1836 1944 2312 2448 2601 2754 2916 3468 3672 3888 4131 4624 5202 5508 5832 6936 7344 7803 8262 10404 11016 11664 12393 13872 15606 16524 20808 22032 23409 24786 31212 33048 41616 46818 49572 62424 66096 70227 93636 99144 124848 140454 187272 198288 210681 280908 374544 421362 561816 842724 1123632 1685448 3370896