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380054640 = 24357435261
BaseRepresentation
bin10110101001110…
…010110001110000
3222111010202221210
4112221302301300
51234243222030
6101413520120
712263261010
oct2651626160
9874122853
10380054640
11185592749
12a7343040
136097a004
1438691c40
1523573bb0
hex16a72c70

380054640 has 160 divisors (see below), whose sum is σ = 1378054656. Its totient is φ = 84833280.

The previous prime is 380054629. The next prime is 380054651. The reversal of 380054640 is 46450083.

It is an interprime number because it is at equal distance from previous prime (380054629) and next prime (380054651).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 380054598 and 380054607.

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, 69610 + ... + 74870.

Almost surely, 2380054640 is an apocalyptic number.

380054640 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 380054640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689027328).

380054640 is an abundant number, since it is smaller than the sum of its proper divisors (998000016).

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

380054640 is a wasteful number, since it uses less digits than its factorization.

380054640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 380054640 is about 19494.9901256707. The cubic root of 380054640 is about 724.3503590021.

The spelling of 380054640 in words is "three hundred eighty million, fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 430 516 560 602 645 688 840 860 903 1032 1204 1290 1505 1680 1720 1806 2064 2408 2580 3010 3440 3612 4515 4816 5160 5261 6020 7224 9030 10320 10522 12040 14448 15783 18060 21044 24080 26305 31566 36120 36827 42088 52610 63132 72240 73654 78915 84176 105220 110481 126264 147308 157830 184135 210440 220962 226223 252528 294616 315660 368270 420880 441924 452446 552405 589232 631320 678669 736540 883848 904892 1104810 1131115 1262640 1357338 1473080 1583561 1767696 1809784 2209620 2262230 2714676 2946160 3167122 3393345 3619568 4419240 4524460 4750683 5429352 6334244 6786690 7917805 8838480 9048920 9501366 10858704 12668488 13573380 15835610 18097840 19002732 23753415 25336976 27146760 31671220 38005464 47506830 54293520 63342440 76010928 95013660 126684880 190027320 380054640