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34708440 = 233513191171
BaseRepresentation
bin1000010001100…
…1101111011000
32102022101000210
42010121233120
532341132230
63235531120
7601005534
oct204315730
972271023
1034708440
1118656a68
12b759aa0
137263150
144876bc4
1530a8eb0
hex2119bd8

34708440 has 128 divisors (see below), whose sum is σ = 118137600. Its totient is φ = 8087040.

The previous prime is 34708433. The next prime is 34708463. The reversal of 34708440 is 4480743.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34708398 and 34708407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29055 + ... + 30225.

It is an arithmetic number, because the mean of its divisors is an integer number (922950).

Almost surely, 234708440 is an apocalyptic number.

34708440 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 34708440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59068800).

34708440 is an abundant number, since it is smaller than the sum of its proper divisors (83429160).

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

34708440 is a wasteful number, since it uses less digits than its factorization.

34708440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 34708440 is about 5891.3869334818. The cubic root of 34708440 is about 326.1957999244.

The spelling of 34708440 in words is "thirty-four million, seven hundred eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1171 1235 1482 1560 1976 2280 2342 2470 2964 3513 3705 4684 4940 5855 5928 7026 7410 9368 9880 11710 14052 14820 15223 17565 22249 23420 28104 29640 30446 35130 44498 45669 46840 60892 66747 70260 76115 88996 91338 111245 121784 133494 140520 152230 177992 182676 222490 228345 266988 289237 304460 333735 365352 444980 456690 533976 578474 608920 667470 867711 889960 913380 1156948 1334940 1446185 1735422 1826760 2313896 2669880 2892370 3470844 4338555 5784740 6941688 8677110 11569480 17354220 34708440