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3400704 = 2103441
BaseRepresentation
bin1100111110010000000000
320101202220000
430332100000
51332310304
6200520000
740622406
oct14762000
96352800
103400704
111a12aaa
121180000
13920b68
14647476
15472939
hex33e400

3400704 has 110 divisors (see below), whose sum is σ = 10402854. Its totient is φ = 1105920.

The previous prime is 3400703. The next prime is 3400717. The reversal of 3400704 is 4070043.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 1327104 = 1440^2 + 1152^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400703) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82924 + ... + 82964.

Almost surely, 23400704 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 3400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201427).

3400704 is an abundant number, since it is smaller than the sum of its proper divisors (7002150).

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

3400704 is an equidigital number, since it uses as much as digits as its factorization.

3400704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3400704 is about 1844.0997803807. The cubic root of 3400704 is about 150.3798373454.

Adding to 3400704 its reverse (4070043), we get a palindrome (7470747).

The spelling of 3400704 in words is "three million, four hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 256 288 324 328 369 384 432 492 512 576 648 656 738 768 864 984 1024 1107 1152 1296 1312 1476 1536 1728 1968 2214 2304 2592 2624 2952 3072 3321 3456 3936 4428 4608 5184 5248 5904 6642 6912 7872 8856 9216 10368 10496 11808 13284 13824 15744 17712 20736 20992 23616 26568 27648 31488 35424 41472 41984 47232 53136 62976 70848 82944 94464 106272 125952 141696 188928 212544 283392 377856 425088 566784 850176 1133568 1700352 3400704