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34277940 = 22325316143
BaseRepresentation
bin1000001011000…
…0101000110100
32101111111111100
42002300220310
532233343230
63222410100
7564233454
oct202605064
971444440
1034277940
1118392584
12b590930
137142208
1447a3d64
153021660
hex20b0a34

34277940 has 72 divisors (see below), whose sum is σ = 107347968. Its totient is φ = 8844480.

The previous prime is 34277939. The next prime is 34277951. The reversal of 34277940 is 4977243.

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

It is a junction number, because it is equal to n+sod(n) for n = 34277895 and 34277904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2509 + ... + 8651.

It is an arithmetic number, because the mean of its divisors is an integer number (1490944).

Almost surely, 234277940 is an apocalyptic number.

34277940 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 34277940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53673984).

34277940 is an abundant number, since it is smaller than the sum of its proper divisors (73070028).

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

34277940 is a wasteful number, since it uses less digits than its factorization.

34277940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 34277940 is about 5854.7365440300. The cubic root of 34277940 is about 324.8415480067.

The spelling of 34277940 in words is "thirty-four million, two hundred seventy-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 6143 12286 18429 24572 30715 36858 55287 61430 73716 92145 110574 122860 184290 190433 221148 276435 368580 380866 552870 571299 761732 952165 1105740 1142598 1713897 1904330 2285196 2856495 3427794 3808660 5712990 6855588 8569485 11425980 17138970 34277940