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4346421912 = 2332731959157
BaseRepresentation
bin1000000110001000…
…10010001010011000
3102012220120002222100
410003010102022120
532400141000122
61555142523400
7212464656000
oct40304221230
912186502870
104346421912
111930495128
12a13736560
135436240b1
142d336d000
151a68a3aac
hex103112298

4346421912 has 384 divisors, whose sum is σ = 14788800000. Its totient is φ = 1149168384.

The previous prime is 4346421899. The next prime is 4346421949. The reversal of 4346421912 is 2191246434.

4346421912 is a `hidden beast` number, since 4 + 3 + 4 + 642 + 1 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×43464219122 = 37782766874227471488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27684138 + ... + 27684294.

It is an arithmetic number, because the mean of its divisors is an integer number (38512500).

Almost surely, 24346421912 is an apocalyptic number.

4346421912 is a gapful number since it is divisible by the number (42) 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 4346421912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394400000).

4346421912 is an abundant number, since it is smaller than the sum of its proper divisors (10442378088).

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

4346421912 is a wasteful number, since it uses less digits than its factorization.

4346421912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4346421912 is about 65927.3987959483. The cubic root of 4346421912 is about 1631.9641986812.

The spelling of 4346421912 in words is "four billion, three hundred forty-six million, four hundred twenty-one thousand, nine hundred twelve".