Search a number
-
+
336404480 = 213543191
BaseRepresentation
bin10100000011010…
…010000000000000
3212110000010012012
4110003102000000
51142104420410
653214152052
711223251036
oct2403220000
9773003165
10336404480
11162989735
12947b2628
1354905c09
143296c556
151e800605
hex140d2000

336404480 has 112 divisors (see below), whose sum is σ = 830421504. Its totient is φ = 130744320.

The previous prime is 336404423. The next prime is 336404491. The reversal of 336404480 is 84404633.

It is a super-2 number, since 2×3364044802 = 226335948328140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1761185 + ... + 1761375.

Almost surely, 2336404480 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 336404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415210752).

336404480 is an abundant number, since it is smaller than the sum of its proper divisors (494017024).

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

336404480 is an equidigital number, since it uses as much as digits as its factorization.

336404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 336404480 is about 18341.3325579141. The cubic root of 336404480 is about 695.4841820439.

The spelling of 336404480 in words is "three hundred thirty-six million, four hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 191 215 256 320 344 382 430 512 640 688 764 860 955 1024 1280 1376 1528 1720 1910 2048 2560 2752 3056 3440 3820 4096 5120 5504 6112 6880 7640 8192 8213 10240 11008 12224 13760 15280 16426 20480 22016 24448 27520 30560 32852 40960 41065 44032 48896 55040 61120 65704 82130 88064 97792 110080 122240 131408 164260 176128 195584 220160 244480 262816 328520 352256 391168 440320 488960 525632 657040 782336 880640 977920 1051264 1314080 1564672 1761280 1955840 2102528 2628160 3911680 4205056 5256320 7823360 8410112 10512640 16820224 21025280 33640448 42050560 67280896 84101120 168202240 336404480