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3774094080 = 28356831439
BaseRepresentation
bin1110000011110100…
…0001101100000000
3100202000121211210020
43200331001230000
530212132002310
61422255533440
7162345161511
oct34075015400
910660554706
103774094080
111667417819
12893b2a280
13481b96a83
1427b34aa08
15171500170
hexe0f41b00

3774094080 has 144 divisors (see below), whose sum is σ = 12079549440. Its totient is φ = 1004253184.

The previous prime is 3774094069. The next prime is 3774094099. The reversal of 3774094080 is 804904773.

It is a super-2 number, since 2×37740940802 = 28487572249382092800, which contains 22 as substring.

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, 2622001 + ... + 2623439.

It is an arithmetic number, because the mean of its divisors is an integer number (83885760).

Almost surely, 23774094080 is an apocalyptic number.

3774094080 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 3774094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039774720).

3774094080 is an abundant number, since it is smaller than the sum of its proper divisors (8305455360).

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

3774094080 is a wasteful number, since it uses less digits than its factorization.

3774094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3774094080 is about 61433.6559224665. The cubic root of 3774094080 is about 1556.9365257970.

The spelling of 3774094080 in words is "three billion, seven hundred seventy-four million, ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 683 768 960 1280 1366 1439 1920 2049 2732 2878 3415 3840 4098 4317 5464 5756 6830 7195 8196 8634 10245 10928 11512 13660 14390 16392 17268 20490 21585 21856 23024 27320 28780 32784 34536 40980 43170 43712 46048 54640 57560 65568 69072 81960 86340 87424 92096 109280 115120 131136 138144 163920 172680 174848 184192 218560 230240 262272 276288 327840 345360 368384 437120 460480 524544 552576 655680 690720 874240 920960 982837 1105152 1311360 1381440 1841920 1965674 2622720 2762880 2948511 3931348 4914185 5525760 5897022 7862696 9828370 11794044 14742555 15725392 19656740 23588088 29485110 31450784 39313480 47176176 58970220 62901568 78626960 94352352 117940440 125803136 157253920 188704704 235880880 251606272 314507840 377409408 471761760 629015680 754818816 943523520 1258031360 1887047040 3774094080