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34023440 = 2451123412
BaseRepresentation
bin1000000111001…
…0100000010000
32101000120101102
42001302200100
532202222230
63213123532
7562123463
oct201624020
971016342
1034023440
1118229350
12b4895a8
137083419
1447392da
152ec1045
hex2072810

34023440 has 120 divisors (see below), whose sum is σ = 92297664. Its totient is φ = 11545600.

The previous prime is 34023439. The next prime is 34023487. The reversal of 34023440 is 4432043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829820 + ... + 829860.

Almost surely, 234023440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46148832).

34023440 is an abundant number, since it is smaller than the sum of its proper divisors (58274224).

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

34023440 is a wasteful number, since it uses less digits than its factorization.

34023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 34023440 is about 5832.9615119594. The cubic root of 34023440 is about 324.0356105756.

Adding to 34023440 its reverse (4432043), we get a palindrome (38455483).

The spelling of 34023440 in words is "thirty-four million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 41 44 46 55 80 82 88 92 110 115 164 176 184 205 220 230 253 328 368 410 440 451 460 506 656 820 880 902 920 943 1012 1265 1640 1681 1804 1840 1886 2024 2255 2530 3280 3362 3608 3772 4048 4510 4715 5060 6724 7216 7544 8405 9020 9430 10120 10373 13448 15088 16810 18040 18491 18860 20240 20746 26896 33620 36080 36982 37720 38663 41492 51865 67240 73964 75440 77326 82984 92455 103730 134480 147928 154652 165968 184910 193315 207460 295856 309304 369820 386630 414920 425293 618608 739640 773260 829840 850586 1479280 1546520 1701172 2126465 3093040 3402344 4252930 6804688 8505860 17011720 34023440