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3664332 = 2233737131
BaseRepresentation
bin1101111110100111001100
320220011112000
431332213030
51414224312
6210312300
743101120
oct15764714
96804460
103664332
112083081
121288690
139b3b59
146b5580
154c5adc
hex37e9cc

3664332 has 96 divisors (see below), whose sum is σ = 11235840. Its totient is φ = 1010880.

The previous prime is 3664327. The next prime is 3664343. The reversal of 3664332 is 2334663.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 3664296 and 3664305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27907 + ... + 28037.

It is an arithmetic number, because the mean of its divisors is an integer number (117040).

Almost surely, 23664332 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 3664332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617920).

3664332 is an abundant number, since it is smaller than the sum of its proper divisors (7571508).

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

3664332 is a wasteful number, since it uses less digits than its factorization.

3664332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3664332 is about 1914.2444984902. The cubic root of 3664332 is about 154.1694317822.

Adding to 3664332 its reverse (2334663), we get a palindrome (5998995).

The spelling of 3664332 in words is "three million, six hundred sixty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 131 148 189 222 252 259 262 333 378 393 444 518 524 666 756 777 786 917 999 1036 1179 1332 1554 1572 1834 1998 2331 2358 2751 3108 3537 3668 3996 4662 4716 4847 5502 6993 7074 8253 9324 9694 11004 13986 14148 14541 16506 19388 24759 27972 29082 33012 33929 43623 49518 58164 67858 87246 99036 101787 130869 135716 174492 203574 261738 305361 407148 523476 610722 916083 1221444 1832166 3664332