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385379840 = 295292179
BaseRepresentation
bin10110111110000…
…110111000000000
3222212011022202102
4112332012320000
51242124123330
6102124005532
712356450246
oct2676067000
9885138672
10385379840
1118859a63a
12a90908a8
1361ac2b11
143927a796
1523c76945
hex16f86e00

385379840 has 120 divisors (see below), whose sum is σ = 962315640. Its totient is φ = 148004864.

The previous prime is 385379807. The next prime is 385379899. The reversal of 385379840 is 48973583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2152871 + ... + 2153049.

It is an arithmetic number, because the mean of its divisors is an integer number (8019297).

Almost surely, 2385379840 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 385379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481157820).

385379840 is an abundant number, since it is smaller than the sum of its proper divisors (576935800).

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

385379840 is an equidigital number, since it uses as much as digits as its factorization.

385379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 385379840 is about 19631.0937036121. The cubic root of 385379840 is about 727.7177990873.

The spelling of 385379840 in words is "three hundred eighty-five million, three hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 179 232 256 290 320 358 464 512 580 640 716 841 895 928 1160 1280 1432 1682 1790 1856 2320 2560 2864 3364 3580 3712 4205 4640 5191 5728 6728 7160 7424 8410 9280 10382 11456 13456 14320 14848 16820 18560 20764 22912 25955 26912 28640 33640 37120 41528 45824 51910 53824 57280 67280 74240 83056 91648 103820 107648 114560 134560 150539 166112 207640 215296 229120 269120 301078 332224 415280 430592 458240 538240 602156 664448 752695 830560 1076480 1204312 1328896 1505390 1661120 2152960 2408624 2657792 3010780 3322240 4817248 6021560 6644480 9634496 12043120 13288960 19268992 24086240 38537984 48172480 77075968 96344960 192689920 385379840