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34420223640 = 23351126075927
BaseRepresentation
bin100000000011100110…
…101110111010011000
310021211210201112021210
4200003212232322120
51030443034124030
623451252503120
72325652034145
oct400346567230
9107753645253
1034420223640
1113663356520
12680731aaa0
13332708924a
1419475093cc
15d66c09bb0
hex8039aee98

34420223640 has 64 divisors (see below), whose sum is σ = 112648008960. Its totient is φ = 8344296320.

The previous prime is 34420223633. The next prime is 34420223647. The reversal of 34420223640 is 4632202443.

It is an interprime number because it is at equal distance from previous prime (34420223633) and next prime (34420223647).

It is a super-2 number, since 2×344202236402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34420223598 and 34420223607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34420223647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13036644 + ... + 13039283.

It is an arithmetic number, because the mean of its divisors is an integer number (1760125140).

Almost surely, 234420223640 is an apocalyptic number.

34420223640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34420223640 is an abundant number, since it is smaller than the sum of its proper divisors (78227785320).

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

34420223640 is a wasteful number, since it uses less digits than its factorization.

34420223640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26075952 (or 26075948 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The spelling of 34420223640 in words is "thirty-four billion, four hundred twenty million, two hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 26075927 52151854 78227781 104303708 130379635 156455562 208607416 260759270 286835197 312911124 391138905 521518540 573670394 625822248 782277810 860505591 1043037080 1147340788 1434175985 1564555620 1721011182 2294681576 2868351970 3129111240 3442022364 4302527955 5736703940 6884044728 8605055910 11473407880 17210111820 34420223640