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336166040 = 23576411873
BaseRepresentation
bin10100000010010…
…111110010011000
3212102120000010002
4110002113302120
51142024303130
653205112132
711221235630
oct2402276230
9772500102
10336166040
11162836581
12946b8648
1354851522
14329096c0
151e7a4b45
hex14097c98

336166040 has 64 divisors (see below), whose sum is σ = 866237760. Its totient is φ = 115015680.

The previous prime is 336166027. The next prime is 336166067. The reversal of 336166040 is 40661633.

It is a super-2 number, since 2×3361660402 = 226015212898563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336165994 and 336166012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178544 + ... + 180416.

It is an arithmetic number, because the mean of its divisors is an integer number (13534965).

Almost surely, 2336166040 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 336166040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433118880).

336166040 is an abundant number, since it is smaller than the sum of its proper divisors (530071720).

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

336166040 is a wasteful number, since it uses less digits than its factorization.

336166040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 336166040 is about 18334.8313327393. The cubic root of 336166040 is about 695.3198258859.

The spelling of 336166040 in words is "three hundred thirty-six million, one hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 641 1282 1873 2564 3205 3746 4487 5128 6410 7492 8974 9365 12820 13111 14984 17948 18730 22435 25640 26222 35896 37460 44870 52444 65555 74920 89740 104888 131110 179480 262220 524440 1200593 2401186 4802372 6002965 8404151 9604744 12005930 16808302 24011860 33616604 42020755 48023720 67233208 84041510 168083020 336166040