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334042040 = 23519538293
BaseRepresentation
bin10011111010010…
…001001110111000
3212021120002112102
4103322101032320
51141003321130
653051402532
711164211333
oct2372211670
9767502472
10334042040
11161615802
1293a53448
1354289817
143251561a
151e4d5645
hex13e913b8

334042040 has 64 divisors (see below), whose sum is σ = 806176800. Its totient is φ = 124180992.

The previous prime is 334042013. The next prime is 334042043. The reversal of 334042040 is 40240433.

It is a happy number.

It is a super-2 number, since 2×3340420402 = 223168168974723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334042043) 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, 36134 + ... + 44426.

Almost surely, 2334042040 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 334042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403088400).

334042040 is an abundant number, since it is smaller than the sum of its proper divisors (472134760).

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

334042040 is a wasteful number, since it uses less digits than its factorization.

334042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 334042040 is about 18276.8170095342. The cubic root of 334042040 is about 693.8523162677.

Adding to 334042040 its reverse (40240433), we get a palindrome (374282473).

The spelling of 334042040 in words is "three hundred thirty-four million, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 152 190 212 265 380 424 530 760 1007 1060 2014 2120 4028 5035 8056 8293 10070 16586 20140 33172 40280 41465 66344 82930 157567 165860 315134 331720 439529 630268 787835 879058 1260536 1575670 1758116 2197645 3151340 3516232 4395290 6302680 8351051 8790580 16702102 17581160 33404204 41755255 66808408 83510510 167021020 334042040