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34313240 = 235131923151
BaseRepresentation
bin1000001011100…
…1010000011000
32101120021220202
42002321100120
532241010430
63223241332
7564441413
oct202712030
971507822
1034313240
1118407055
12b5a9248
1371552c0
1447b2b7a
15302bd45
hex20b9418

34313240 has 128 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 11404800.

The previous prime is 34313239. The next prime is 34313261. The reversal of 34313240 is 4231343.

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

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, 227165 + ... + 227315.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 234313240 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 34313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

34313240 is an abundant number, since it is smaller than the sum of its proper divisors (57616360).

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

34313240 is a wasteful number, since it uses less digits than its factorization.

34313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 34313240 is about 5857.7504214502. The cubic root of 34313240 is about 324.9530188499.

Adding to 34313240 its reverse (4231343), we get a palindrome (38544583).

The spelling of 34313240 in words is "thirty-four million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 23 26 38 40 46 52 65 76 92 95 104 115 130 151 152 184 190 230 247 260 299 302 380 437 460 494 520 598 604 755 760 874 920 988 1196 1208 1235 1495 1510 1748 1963 1976 2185 2392 2470 2869 2990 3020 3473 3496 3926 4370 4940 5681 5738 5980 6040 6946 7852 8740 9815 9880 11362 11476 11960 13892 14345 15704 17365 17480 19630 22724 22952 27784 28405 28690 34730 37297 39260 45149 45448 56810 57380 65987 69460 74594 78520 90298 113620 114760 131974 138920 149188 180596 186485 225745 227240 263948 298376 329935 361192 372970 451490 527896 659870 745940 857831 902980 1319740 1491880 1715662 1805960 2639480 3431324 4289155 6862648 8578310 17156620 34313240