Search a number
-
+
377399040 = 2835293389
BaseRepresentation
bin10110011111101…
…010011100000000
3222022010212011020
4112133222130000
51233103232130
6101240545440
712231560514
oct2637523400
9868125136
10377399040
11184039537
12a6482280
136025a355
14381a0144
15231ebe10
hex167ea700

377399040 has 144 divisors (see below), whose sum is σ = 1247248800. Its totient is φ = 97140736.

The previous prime is 377399027. The next prime is 377399063. The reversal of 377399040 is 40993773.

It is a junction number, because it is equal to n+sod(n) for n = 377398983 and 377399001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109666 + ... + 113054.

It is an arithmetic number, because the mean of its divisors is an integer number (8661450).

Almost surely, 2377399040 is an apocalyptic number.

377399040 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 377399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623624400).

377399040 is an abundant number, since it is smaller than the sum of its proper divisors (869849760).

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

377399040 is a wasteful number, since it uses less digits than its factorization.

377399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 42.

The square root of 377399040 is about 19426.7609240450. The cubic root of 377399040 is about 722.6593016471.

The spelling of 377399040 in words is "three hundred seventy-seven million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2320 2784 3389 3480 3712 3840 4640 5568 6778 6960 7424 9280 10167 11136 13556 13920 16945 18560 20334 22272 27112 27840 33890 37120 40668 50835 54224 55680 67780 81336 98281 101670 108448 111360 135560 162672 196562 203340 216896 271120 294843 325344 393124 406680 433792 491405 542240 589686 650688 786248 813360 867584 982810 1084480 1179372 1301376 1474215 1572496 1626720 1965620 2168960 2358744 2602752 2948430 3144992 3253440 3931240 4337920 4717488 5896860 6289984 6506880 7862480 9434976 11793720 12579968 13013760 15724960 18869952 23587440 25159936 31449920 37739904 47174880 62899840 75479808 94349760 125799680 188699520 377399040