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78134004 = 2233131929101
BaseRepresentation
bin1001010100000…
…11101011110100
312110000121201000
410222003223310
5130000242004
611430403300
71636061634
oct452035364
9173017630
1078134004
1140117263
1222200530
1313258c50
14a53c6c4
156cd5c39
hex4a83af4

78134004 has 192 divisors, whose sum is σ = 239904000. Its totient is φ = 21772800.

The previous prime is 78134003. The next prime is 78134011. The reversal of 78134004 is 40043187.

It is a super-2 number, since 2×781340042 = 12209845162144032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78134003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 773554 + ... + 773654.

It is an arithmetic number, because the mean of its divisors is an integer number (1249500).

Almost surely, 278134004 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 78134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952000).

78134004 is an abundant number, since it is smaller than the sum of its proper divisors (161769996).

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

78134004 is a wasteful number, since it uses less digits than its factorization.

78134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78134004 is about 8839.3440933137. The cubic root of 78134004 is about 427.5104091033.

The spelling of 78134004 in words is "seventy-eight million, one hundred thirty-four thousand, four".