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341976040 = 23576718229
BaseRepresentation
bin10100011000100…
…010001111101000
3212211111011221021
4110120202033220
51200021213130
653533422224
711321514460
oct2430421750
9784434837
10341976040
1116604472a
129663a974
1355b06bb3
14335bcba0
152005137a
hex146223e8

341976040 has 64 divisors (see below), whose sum is σ = 892540800. Its totient is φ = 115492608.

The previous prime is 341976031. The next prime is 341976049. The reversal of 341976040 is 40679143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (341976031) and next prime (341976049).

It is a super-2 number, since 2×3419760402 = 233895223868163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 341975987 and 341976005.

It is not an unprimeable number, because it can be changed into a prime (341976049) 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, 9646 + ... + 27874.

It is an arithmetic number, because the mean of its divisors is an integer number (13945950).

Almost surely, 2341976040 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 341976040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446270400).

341976040 is an abundant number, since it is smaller than the sum of its proper divisors (550564760).

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

341976040 is a wasteful number, since it uses less digits than its factorization.

341976040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18314 (or 18310 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 341976040 is about 18492.5941933521. The cubic root of 341976040 is about 699.3027342599.

The spelling of 341976040 in words is "three hundred forty-one million, nine hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3752 4690 9380 18229 18760 36458 72916 91145 127603 145832 182290 255206 364580 510412 638015 729160 1020824 1221343 1276030 2442686 2552060 4885372 5104120 6106715 8549401 9770744 12213430 17098802 24426860 34197604 42747005 48853720 68395208 85494010 170988020 341976040