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334426608 = 243229531511
BaseRepresentation
bin10011111011101…
…111000111110000
3212022021122001200
4103323233013300
51141103122413
653103531200
711200402455
oct2373570760
9768248050
10334426608
1116185872a
1293bb9b00
1354392889
14325b582c
151e55e573
hex13eef1f0

334426608 has 120 divisors (see below), whose sum is σ = 987124320. Its totient is φ = 105530880.

The previous prime is 334426607. The next prime is 334426643. The reversal of 334426608 is 806624433.

It is a happy number.

334426608 is a `hidden beast` number, since 3 + 3 + 4 + 42 + 6 + 608 = 666.

It is a super-2 number, since 2×3344266082 = 223682312276771328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334426607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220573 + ... + 222083.

It is an arithmetic number, because the mean of its divisors is an integer number (8226036).

Almost surely, 2334426608 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 334426608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493562160).

334426608 is an abundant number, since it is smaller than the sum of its proper divisors (652697712).

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

334426608 is a wasteful number, since it uses less digits than its factorization.

334426608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 334426608 is about 18287.3346335654. The cubic root of 334426608 is about 694.1184814338.

The spelling of 334426608 in words is "three hundred thirty-four million, four hundred twenty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 53 58 72 87 106 116 144 159 174 212 232 261 318 348 424 464 477 522 636 696 848 954 1044 1272 1392 1511 1537 1908 2088 2544 3022 3074 3816 4176 4533 4611 6044 6148 7632 9066 9222 12088 12296 13599 13833 18132 18444 24176 24592 27198 27666 36264 36888 43819 54396 55332 72528 73776 80083 87638 108792 110664 131457 160166 175276 217584 221328 240249 262914 320332 350552 394371 480498 525828 640664 701104 720747 788742 960996 1051656 1281328 1441494 1577484 1921992 2103312 2322407 2882988 3154968 3843984 4644814 5765976 6309936 6967221 9289628 11531952 13934442 18579256 20901663 27868884 37158512 41803326 55737768 83606652 111475536 167213304 334426608