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34923980 = 22571331619
BaseRepresentation
bin1000010100111…
…0010111001100
32102201022200202
42011032113030
532420031410
63244313032
7602564120
oct205162714
972638622
1034923980
11187939a3
12b842778
13730a2a0
1448d1580
1530ecca5
hex214e5cc

34923980 has 96 divisors (see below), whose sum is σ = 93327360. Its totient is φ = 10679040.

The previous prime is 34923971. The next prime is 34923983. The reversal of 34923980 is 8932943.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34923983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56111 + ... + 56729.

It is an arithmetic number, because the mean of its divisors is an integer number (972160).

Almost surely, 234923980 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 34923980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46663680).

34923980 is an abundant number, since it is smaller than the sum of its proper divisors (58403380).

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

34923980 is a wasteful number, since it uses less digits than its factorization.

34923980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 34923980 is about 5909.6514279609. The cubic root of 34923980 is about 326.8696341494.

The spelling of 34923980 in words is "thirty-four million, nine hundred twenty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 619 620 806 868 910 1085 1238 1612 1820 2015 2170 2476 2821 3095 4030 4333 4340 5642 6190 8047 8060 8666 11284 12380 14105 16094 17332 19189 21665 28210 32188 38378 40235 43330 56329 56420 76756 80470 86660 95945 112658 134323 160940 191890 225316 249457 268646 281645 383780 498914 537292 563290 671615 997828 1126580 1247285 1343230 1746199 2494570 2686460 3492398 4989140 6984796 8730995 17461990 34923980