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3400034004 = 223294445389
BaseRepresentation
bin1100101010101000…
…0110011011010100
322202221202121211100
43022222012123110
523430402042004
61321214310100
7150153545403
oct31252063324
98687677740
103400034004
111495259964
127aa7b8330
13422538453
142437b963a
1514d762739
hexcaa866d4

3400034004 has 18 divisors (see below), whose sum is σ = 8594530490. Its totient is φ = 1133344656.

The previous prime is 3400033991. The next prime is 3400034023. The reversal of 3400034004 is 4004300043.

It can be written as a sum of positive squares in only one way, i.e., 2636617104 + 763416900 = 51348^2 + 27630^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47222659 + ... + 47222730.

Almost surely, 23400034004 is an apocalyptic number.

It is an amenable number.

3400034004 is an abundant number, since it is smaller than the sum of its proper divisors (5194496486).

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

3400034004 is a wasteful number, since it uses less digits than its factorization.

3400034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94445399 (or 94445394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3400034004 is about 58309.8105296184. The cubic root of 3400034004 is about 1503.6996090933.

Adding to 3400034004 its reverse (4004300043), we get a palindrome (7404334047).

The spelling of 3400034004 in words is "three billion, four hundred million, thirty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 94445389 188890778 283336167 377781556 566672334 850008501 1133344668 1700017002 3400034004