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34702020 = 2234531691
BaseRepresentation
bin1000010001100…
…0001011000100
32102022001020000
42010120023010
532340431040
63235441300
7600651033
oct204301304
972261200
1034702020
1118652161
12b756230
137260252
14487471a
1530a7130
hex21182c4

34702020 has 120 divisors (see below), whose sum is σ = 112535808. Its totient is φ = 8942400.

The previous prime is 34701991. The next prime is 34702021. The reversal of 34702020 is 2020743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34701984 and 34702002.

It is not an unprimeable number, because it can be changed into a prime (34702021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49875 + ... + 50565.

Almost surely, 234702020 is an apocalyptic number.

34702020 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 34702020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56267904).

34702020 is an abundant number, since it is smaller than the sum of its proper divisors (77833788).

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

34702020 is a wasteful number, since it uses less digits than its factorization.

34702020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 34702020 is about 5890.8420450730. The cubic root of 34702020 is about 326.1756866017.

Adding to 34702020 its reverse (2020743), we get a palindrome (36722763).

The spelling of 34702020 in words is "thirty-four million, seven hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 691 810 837 930 1116 1382 1395 1620 1674 1860 2073 2511 2764 2790 3348 3455 4146 4185 5022 5580 6219 6910 8292 8370 10044 10365 12438 12555 13820 16740 18657 20730 21421 24876 25110 31095 37314 41460 42842 50220 55971 62190 64263 74628 85684 93285 107105 111942 124380 128526 186570 192789 214210 223884 257052 279855 321315 373140 385578 428420 559710 578367 642630 771156 963945 1119420 1156734 1285260 1735101 1927890 2313468 2891835 3470202 3855780 5783670 6940404 8675505 11567340 17351010 34702020