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3321472 = 27711337
BaseRepresentation
bin1100101010111010000000
320020202012111
430222322000
51322241342
6155105104
740142410
oct14527200
96222174
103321472
111969520
121142194
138c3a8b
14626640
15459217
hex32ae80

3321472 has 64 divisors (see below), whose sum is σ = 8274240. Its totient is φ = 1290240.

The previous prime is 3321469. The next prime is 3321491. The reversal of 3321472 is 2741233.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33214722 = 22064352493568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 9688 + ... + 10024.

It is an arithmetic number, because the mean of its divisors is an integer number (129285).

Almost surely, 23321472 is an apocalyptic number.

3321472 is a gapful number since it is divisible by the number (32) 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 3321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137120).

3321472 is an abundant number, since it is smaller than the sum of its proper divisors (4952768).

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

3321472 is a wasteful number, since it uses less digits than its factorization.

3321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 3321472 is about 1822.4906035423. The cubic root of 3321472 is about 149.2027628523.

The spelling of 3321472 in words is "three million, three hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 337 352 448 616 674 704 896 1232 1348 1408 2359 2464 2696 3707 4718 4928 5392 7414 9436 9856 10784 14828 18872 21568 25949 29656 37744 43136 51898 59312 75488 103796 118624 150976 207592 237248 301952 415184 474496 830368 1660736 3321472