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4000003304 = 23111711092411
BaseRepresentation
bin1110111001101011…
…0011010011101000
3101022202201012222112
43232122303103220
531143000101204
61500525541452
7201060316133
oct35632632350
911282635875
104000003304
111772996760
12937714888
134b992307b
1429d35521a
1518627626e
hexee6b34e8

4000003304 has 64 divisors (see below), whose sum is σ = 8674516800. Its totient is φ = 1708979200.

The previous prime is 4000003283. The next prime is 4000003307. The reversal of 4000003304 is 4033000004.

It is not an unprimeable number, because it can be changed into a prime (4000003307) 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, 1657859 + ... + 1660269.

It is an arithmetic number, because the mean of its divisors is an integer number (135539325).

Almost surely, 24000003304 is an apocalyptic number.

4000003304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000003304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337258400).

4000003304 is an abundant number, since it is smaller than the sum of its proper divisors (4674513496).

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

4000003304 is a wasteful number, since it uses less digits than its factorization.

4000003304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 4000003304 is about 63245.5793237757. The cubic root of 4000003304 is about 1587.4014890325.

Adding to 4000003304 its reverse (4033000004), we get a palindrome (8033003308).

It can be divided in two parts, 400000 and 3304, that added together give a palindrome (403304).

The spelling of 4000003304 in words is "four billion, three thousand, three hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1109 1496 2218 2411 4436 4822 8872 9644 12199 18853 19288 24398 26521 37706 40987 48796 53042 75412 81974 97592 106084 150824 163948 207383 212168 327896 414766 450857 829532 901714 1659064 1803428 2673799 3606856 5347598 10695196 21390392 29411789 45454583 58823578 90909166 117647156 181818332 235294312 363636664 500000413 1000000826 2000001652 4000003304