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10349970 = 235312359
BaseRepresentation
bin100111011110…
…110110010010
3201110211111020
4213132312102
510122144340
61005500310
7153654561
oct47366622
921424436
1010349970
11592a0a4
123571696
1321b4c57
141535bd8
15d969d0
hex9ded92

10349970 has 48 divisors (see below), whose sum is σ = 25738560. Its totient is φ = 2663520.

The previous prime is 10349953. The next prime is 10349981. The reversal of 10349970 is 7994301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28651 + ... + 29009.

It is an arithmetic number, because the mean of its divisors is an integer number (536220).

Almost surely, 210349970 is an apocalyptic number.

10349970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10349970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869280).

10349970 is an abundant number, since it is smaller than the sum of its proper divisors (15388590).

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

10349970 is a wasteful number, since it uses less digits than its factorization.

10349970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 10349970 is about 3217.1369259017. The cubic root of 10349970 is about 217.9279985544.

The spelling of 10349970 in words is "ten million, three hundred forty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 359 465 718 930 961 1077 1795 1922 2154 2883 3590 4805 5385 5766 9610 10770 11129 14415 22258 28830 33387 55645 66774 111290 166935 333870 344999 689998 1034997 1724995 2069994 3449990 5174985 10349970