Search a number
-
+
34714224080 = 24531531092423
BaseRepresentation
bin100000010101001000…
…010000010111010000
310022121021221022001222
4200111020100113100
51032043320132310
623540354144212
72336152015244
oct402510202720
9108537838058
1034714224080
11137a4302398
126889882068
133372c662c3
14197459a424
15d82931055
hex8152105d0

34714224080 has 160 divisors (see below), whose sum is σ = 85700229120. Its totient is φ = 13057873920.

The previous prime is 34714224053. The next prime is 34714224121. The reversal of 34714224080 is 8042241743.

It is a self number, because there is not a number n which added to its sum of digits gives 34714224080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14325749 + ... + 14328171.

It is an arithmetic number, because the mean of its divisors is an integer number (535626432).

Almost surely, 234714224080 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 34714224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42850114560).

34714224080 is an abundant number, since it is smaller than the sum of its proper divisors (50986005040).

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

34714224080 is a wasteful number, since it uses less digits than its factorization.

34714224080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 34714224080 in words is "thirty-four billion, seven hundred fourteen million, two hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 53 62 80 106 109 124 155 212 218 248 265 310 424 436 496 530 545 620 848 872 1060 1090 1240 1643 1744 2120 2180 2423 2480 3286 3379 4240 4360 4846 5777 6572 6758 8215 8720 9692 11554 12115 13144 13516 16430 16895 19384 23108 24230 26288 27032 28885 32860 33790 38768 46216 48460 54064 57770 65720 67580 75113 92432 96920 115540 128419 131440 135160 150226 179087 193840 231080 256838 264107 270320 300452 358174 375565 462160 513676 528214 600904 642095 716348 751130 895435 1027352 1056428 1201808 1284190 1320535 1432696 1502260 1790870 2054704 2112856 2568380 2641070 2865392 3004520 3581740 3980989 4225712 5136760 5282140 6009040 7163480 7961978 8187317 10273520 10564280 13997671 14326960 15923956 16374634 19904945 21128560 27995342 31847912 32749268 39809890 40936585 55990684 63695824 65498536 69988355 79619780 81873170 111981368 130997072 139976710 159239560 163746340 223962736 279953420 318479120 327492680 433927801 559906840 654985360 867855602 1119813680 1735711204 2169639005 3471422408 4339278010 6942844816 8678556020 17357112040 34714224080