Search a number
-
+
336199896 = 23341732999
BaseRepresentation
bin10100000010100…
…000000011011000
3212102121201120000
4110002200003120
51142031344041
653205533000
711221436424
oct2402400330
9772551500
10336199896
11162859a5a
1294714160
1354863a66
1432917b84
151e7aebb6
hex140a00d8

336199896 has 80 divisors (see below), whose sum is σ = 947430000. Its totient is φ = 111381696.

The previous prime is 336199859. The next prime is 336199933. The reversal of 336199896 is 698991633.

336199896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (336199859) and next prime (336199933).

It is a super-2 number, since 2×3361998962 = 226060740140821632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110605 + ... + 113603.

It is an arithmetic number, because the mean of its divisors is an integer number (11842875).

Almost surely, 2336199896 is an apocalyptic number.

336199896 is a gapful number since it is divisible by the number (36) 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 336199896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473715000).

336199896 is an abundant number, since it is smaller than the sum of its proper divisors (611230104).

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

336199896 is a wasteful number, since it uses less digits than its factorization.

336199896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3177 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 336199896 is about 18335.7545795094. The cubic root of 336199896 is about 695.3431674840.

The spelling of 336199896 in words is "three hundred thirty-six million, one hundred ninety-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 173 216 324 346 519 648 692 1038 1384 1557 2076 2999 3114 4152 4671 5998 6228 8997 9342 11996 12456 14013 17994 18684 23992 26991 28026 35988 37368 53982 56052 71976 80973 107964 112104 161946 215928 242919 323892 485838 518827 647784 971676 1037654 1556481 1943352 2075308 3112962 4150616 4669443 6225924 9338886 12451848 14008329 18677772 28016658 37355544 42024987 56033316 84049974 112066632 168099948 336199896