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34003500030 = 2335125938889
BaseRepresentation
bin11111101010110001…
…000011101111111110
310020202202120202222000
4133222301003233332
51024114344000110
623342045003130
72312431660413
oct375261035776
9106682522860
1034003500030
111346a0a8945
12670b8534a6
13328b940926
14190803010a
15d403411c0
hex7eac43bfe

34003500030 has 32 divisors (see below), whose sum is σ = 90676000800. Its totient is φ = 9067599936.

The previous prime is 34003499983. The next prime is 34003500077. The reversal of 34003500030 is 3000530043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34003499983) and next prime (34003500077).

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

It is a junction number, because it is equal to n+sod(n) for n = 34003499976 and 34003500012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62969175 + ... + 62969714.

It is an arithmetic number, because the mean of its divisors is an integer number (2833625025).

Almost surely, 234003500030 is an apocalyptic number.

34003500030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34003500030 is an abundant number, since it is smaller than the sum of its proper divisors (56672500770).

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

34003500030 is a wasteful number, since it uses less digits than its factorization.

34003500030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125938905 (or 125938899 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The spelling of 34003500030 in words is "thirty-four billion, three million, five hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 125938889 251877778 377816667 629694445 755633334 1133450001 1259388890 1889083335 2266900002 3400350003 3778166670 5667250005 6800700006 11334500010 17001750015 34003500030