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3474432 = 210321329
BaseRepresentation
bin1101010000010000000000
320112112000200
431100100000
51342140212
6202245200
741350353
oct15202000
96475020
103474432
111a63435
1211b6800
139485a0
1466629a
154896dc
hex350400

3474432 has 132 divisors (see below), whose sum is σ = 11176620. Its totient is φ = 1032192.

The previous prime is 3474413. The next prime is 3474433. The reversal of 3474432 is 2344743.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 2359296 = 1056^2 + 1536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3474396 and 3474405.

It is not an unprimeable number, because it can be changed into a prime (3474433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119794 + ... + 119822.

Almost surely, 23474432 is an apocalyptic number.

3474432 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 3474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588310).

3474432 is an abundant number, since it is smaller than the sum of its proper divisors (7702188).

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

3474432 is a wasteful number, since it uses less digits than its factorization.

3474432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 3474432 is about 1863.9828325390. The cubic root of 3474432 is about 151.4588327188.

The spelling of 3474432 in words is "three million, four hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 64 72 78 87 96 104 116 117 128 144 156 174 192 208 232 234 256 261 288 312 348 377 384 416 464 468 512 522 576 624 696 754 768 832 928 936 1024 1044 1131 1152 1248 1392 1508 1536 1664 1856 1872 2088 2262 2304 2496 2784 3016 3072 3328 3393 3712 3744 4176 4524 4608 4992 5568 6032 6656 6786 7424 7488 8352 9048 9216 9984 11136 12064 13312 13572 14848 14976 16704 18096 19968 22272 24128 27144 29696 29952 33408 36192 39936 44544 48256 54288 59904 66816 72384 89088 96512 108576 119808 133632 144768 193024 217152 267264 289536 386048 434304 579072 868608 1158144 1737216 3474432