Search a number
-
+
332956806 = 237133791609
BaseRepresentation
bin10011110110001…
…000010010000110
3212012111221212120
4103312020102012
51140214104211
653012230410
711152041360
oct2366102206
9765457776
10332956806
11160a44416
129360b406
1353c99880
1432311d30
151e36dd06
hex13d88486

332956806 has 64 divisors (see below), whose sum is σ = 822259200. Its totient is φ = 87526656.

The previous prime is 332956787. The next prime is 332956807. The reversal of 332956806 is 608659233.

It is a super-2 number, since 2×3329568062 = 221720469323443272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332956807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206130 + ... + 207738.

It is an arithmetic number, because the mean of its divisors is an integer number (12847800).

Almost surely, 2332956806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332956806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411129600).

332956806 is an abundant number, since it is smaller than the sum of its proper divisors (489302394).

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

332956806 is a wasteful number, since it uses less digits than its factorization.

332956806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013.

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 332956806 is about 18247.1040442038. The cubic root of 332956806 is about 693.1001065174.

The spelling of 332956806 in words is "three hundred thirty-two million, nine hundred fifty-six thousand, eight hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 379 546 758 1137 1609 2274 2653 3218 4827 4927 5306 7959 9654 9854 11263 14781 15918 20917 22526 29562 33789 34489 41834 62751 67578 68978 103467 125502 146419 206934 292838 439257 609811 878514 1219622 1829433 3658866 4268677 7927543 8537354 12806031 15855086 23782629 25612062 47565258 55492801 110985602 166478403 332956806