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34214614004 = 22291181249749
BaseRepresentation
bin11111110111010110…
…011001001111110100
310021022110211110220002
4133313112121033310
51030032420122004
623415025530432
72320604264144
oct376726311764
9107273743802
1034214614004
11135682919aa
12676a4a3a18
1332c35b983c
1419280a6924
15d53b4361e
hex7f75993f4

34214614004 has 24 divisors (see below), whose sum is σ = 61992945000. Its totient is φ = 16503347840.

The previous prime is 34214613973. The next prime is 34214614009. The reversal of 34214614004 is 40041641243.

It can be written as a sum of positive squares in 4 ways, for example, as 5821690000 + 28392924004 = 76300^2 + 168502^2 .

It is a super-2 number, since 2×342146140042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34214614009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12122 + ... + 261870.

It is an arithmetic number, because the mean of its divisors is an integer number (2583039375).

Almost surely, 234214614004 is an apocalyptic number.

It is an amenable number.

34214614004 is a deficient number, since it is larger than the sum of its proper divisors (27778330996).

34214614004 is a wasteful number, since it uses less digits than its factorization.

34214614004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250963 (or 250961 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 34214614004 in words is "thirty-four billion, two hundred fourteen million, six hundred fourteen thousand, four".

Divisors: 1 2 4 29 58 116 1181 2362 4724 34249 68498 136996 249749 499498 998996 7242721 14485442 28970884 294953569 589907138 1179814276 8553653501 17107307002 34214614004