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3340147334076 = 22327231431141719
BaseRepresentation
bin110000100110110000010…
…010111001101110111100
3102211022111121111012001100
4300212300102321232330
5414211110204142301
611034235325213100
7463213651614600
oct60466022715674
912738447435040
103340147334076
111078604102313
1245b414701190
131b2c890b8697
14b7941dd9500
155bd417de286
hex309b04b9bbc

3340147334076 has 216 divisors, whose sum is σ = 10162045071360. Its totient is φ = 921393748800.

The previous prime is 3340147334063. The next prime is 3340147334087. The reversal of 3340147334076 is 6704337410433.

It is a happy number.

3340147334076 is a `hidden beast` number, since 33 + 40 + 1 + 473 + 3 + 40 + 76 = 666.

3340147334076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33401473340762 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23497945 + ... + 23639663.

It is an arithmetic number, because the mean of its divisors is an integer number (47046504960).

Almost surely, 23340147334076 is an apocalyptic number.

3340147334076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340147334076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081022535680).

3340147334076 is an abundant number, since it is smaller than the sum of its proper divisors (6821897737284).

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

3340147334076 is a wasteful number, since it uses less digits than its factorization.

3340147334076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142205 (or 142193 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 3340147334076 in words is "three trillion, three hundred forty billion, one hundred forty-seven million, three hundred thirty-four thousand, seventy-six".