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1974140928 = 216323347
BaseRepresentation
bin111010110101011…
…0000000000000000
312002120200202020200
41311222300000000
513020340002203
6523520405200
766630630624
oct16552600000
95076622220
101974140928
11923395331
12471176800
13255cc2136
1414a287184
15b84a59a3
hex75ab0000

1974140928 has 102 divisors (see below), whose sum is σ = 5704734204. Its totient is φ = 657850368.

The previous prime is 1974140911. The next prime is 1974140941. The reversal of 1974140928 is 8290414791.

It is a happy number.

It is a super-3 number, since 3×19741409283 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 588151 + ... + 591497.

Almost surely, 21974140928 is an apocalyptic number.

1974140928 is a gapful number since it is divisible by the number (18) 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 1974140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852367102).

1974140928 is an abundant number, since it is smaller than the sum of its proper divisors (3730593276).

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

1974140928 is an frugal number, since it uses more digits than its factorization.

1974140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1974140928 is about 44431.3057201789. The cubic root of 1974140928 is about 1254.4674127314.

It can be divided in two parts, 1974 and 140928, that multiplied together give a palindrome (278191872).

The spelling of 1974140928 in words is "one billion, nine hundred seventy-four million, one hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3347 4096 4608 6144 6694 8192 9216 10041 12288 13388 16384 18432 20082 24576 26776 30123 32768 36864 40164 49152 53552 60246 65536 73728 80328 98304 107104 120492 147456 160656 196608 214208 240984 294912 321312 428416 481968 589824 642624 856832 963936 1285248 1713664 1927872 2570496 3427328 3855744 5140992 6854656 7711488 10281984 13709312 15422976 20563968 27418624 30845952 41127936 54837248 61691904 82255872 109674496 123383808 164511744 219348992 246767616 329023488 493535232 658046976 987070464 1974140928