Search a number
-
+
4378601240 = 2351371233509
BaseRepresentation
bin1000001001111110…
…00010011100011000
3102022011002222201022
410010333002130120
532431410214430
62002252342012
7213335332166
oct40477023430
912264088638
104378601240
111947673a12
12a22474908
1354a1b0010
142d7748236
151a960d4e5
hex104fc2718

4378601240 has 128 divisors (see below), whose sum is σ = 10826524800. Its totient is φ = 1583984640.

The previous prime is 4378601239. The next prime is 4378601261. The reversal of 4378601240 is 421068734.

It is a Cunningham number, because it is equal to 661712-1.

It is a self number, because there is not a number n which added to its sum of digits gives 4378601240.

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, 8602106 + ... + 8602614.

It is an arithmetic number, because the mean of its divisors is an integer number (84582225).

Almost surely, 24378601240 is an apocalyptic number.

4378601240 is a gapful number since it is divisible by the number (40) 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 4378601240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413262400).

4378601240 is an abundant number, since it is smaller than the sum of its proper divisors (6447923560).

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

4378601240 is a wasteful number, since it uses less digits than its factorization.

4378601240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 4378601240 is about 66170.9999924438. Note that the first 5 decimals coincide. The cubic root of 4378601240 is about 1635.9817899189.

Adding to 4378601240 its reverse (421068734), we get a palindrome (4799669974).

The spelling of 4378601240 in words is "four billion, three hundred seventy-eight million, six hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 233 260 284 355 466 509 520 568 710 923 932 1018 1165 1420 1846 1864 2036 2330 2545 2840 3029 3692 4072 4615 4660 5090 6058 6617 7384 9230 9320 10180 12116 13234 15145 16543 18460 20360 24232 26468 30290 33085 33086 36139 36920 52936 60580 66170 66172 72278 82715 118597 121160 132340 132344 144556 165430 180695 215059 237194 264680 289112 330860 361390 430118 469807 474388 592985 661720 722780 860236 939614 948776 1075295 1185970 1445560 1541761 1720472 1879228 2150590 2349035 2371940 3083522 3758456 4301180 4698070 4743880 6167044 7708805 8420387 8602360 9396140 12334088 15417610 16840774 18792280 30835220 33681548 42101935 61670440 67363096 84203870 109465031 168407740 218930062 336815480 437860124 547325155 875720248 1094650310 2189300620 4378601240