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334045040 = 24574114549
BaseRepresentation
bin10011111010010…
…001111101110000
3212021120020122112
4103322101331300
51141003420130
653051424452
711164223150
oct2372217560
9767506575
10334045040
11161617a8a
1293a55128
135428acb4
1432516760
151e4d6495
hex13e91f70

334045040 has 80 divisors (see below), whose sum is σ = 909316800. Its totient is φ = 111728640.

The previous prime is 334045021. The next prime is 334045043. The reversal of 334045040 is 40540433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3340450402 = 223172177497203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334044997 and 334045015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334045043) 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, 15686 + ... + 30234.

It is an arithmetic number, because the mean of its divisors is an integer number (11366460).

Almost surely, 2334045040 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 334045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454658400).

334045040 is an abundant number, since it is smaller than the sum of its proper divisors (575271760).

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

334045040 is a wasteful number, since it uses less digits than its factorization.

334045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14610 (or 14604 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 334045040 is about 18276.8990805333. The cubic root of 334045040 is about 693.8543934022.

Adding to 334045040 its reverse (40540433), we get a palindrome (374585473).

The spelling of 334045040 in words is "three hundred thirty-four million, forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 14549 22960 29098 58196 72745 101843 116392 145490 203686 232784 290980 407372 509215 581960 596509 814744 1018430 1163920 1193018 1629488 2036860 2386036 2982545 4073720 4175563 4772072 5965090 8147440 8351126 9544144 11930180 16702252 20877815 23860360 33404504 41755630 47720720 66809008 83511260 167022520 334045040