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34373940 = 2235718069
BaseRepresentation
bin1000001100100…
…0000100110100
32101200101011220
42003020010310
532244431230
63224430340
7565113366
oct203100464
971611156
1034373940
1118448717
12b6183b0
137176b13
1447cad36
15303ed10
hex20c8134

34373940 has 48 divisors (see below), whose sum is σ = 97614720. Its totient is φ = 9036160.

The previous prime is 34373923. The next prime is 34373951. The reversal of 34373940 is 4937343.

It is a super-2 number, since 2×343739402 = 2363135502247200, which 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 15 ways as a sum of consecutive naturals, for example, 226 + ... + 8294.

It is an arithmetic number, because the mean of its divisors is an integer number (2033640).

Almost surely, 234373940 is an apocalyptic number.

34373940 is a gapful number since it is divisible by the number (30) 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 34373940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48807360).

34373940 is an abundant number, since it is smaller than the sum of its proper divisors (63240780).

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

34373940 is a wasteful number, since it uses less digits than its factorization.

34373940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 34373940 is about 5862.9293019787. The cubic root of 34373940 is about 325.1445195526.

The spelling of 34373940 in words is "thirty-four million, three hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 8069 16138 24207 32276 40345 48414 80690 96828 121035 161380 242070 484140 572899 1145798 1718697 2291596 2864495 3437394 5728990 6874788 8593485 11457980 17186970 34373940