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3374729440 = 255314315823
BaseRepresentation
bin1100100100100110…
…0100100011100000
322201012011000111021
43021021210203200
523402412320230
61314512055224
7146425504225
oct31111444340
98635130437
103374729440
111481a461a5
127a2234514
1341a218734
142402ad94c
1514b414c7a
hexc92648e0

3374729440 has 96 divisors (see below), whose sum is σ = 8421912576. Its totient is φ = 1275886080.

The previous prime is 3374729417. The next prime is 3374729509. The reversal of 3374729440 is 449274733.

It is a super-2 number, since 2×33747294402 = 22777597586405427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 205369 + ... + 221191.

It is an arithmetic number, because the mean of its divisors is an integer number (87728256).

Almost surely, 23374729440 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 3374729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210956288).

3374729440 is an abundant number, since it is smaller than the sum of its proper divisors (5047183136).

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

3374729440 is a wasteful number, since it uses less digits than its factorization.

3374729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15912 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The square root of 3374729440 is about 58092.4215367203. The cubic root of 3374729440 is about 1499.9599159659.

The spelling of 3374729440 in words is "three billion, three hundred seventy-four million, seven hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 80 86 124 155 160 172 215 248 310 344 430 496 620 688 860 992 1240 1333 1376 1720 2480 2666 3440 4960 5332 6665 6880 10664 13330 15823 21328 26660 31646 42656 53320 63292 79115 106640 126584 158230 213280 253168 316460 490513 506336 632920 680389 981026 1265840 1360778 1962052 2452565 2531680 2721556 3401945 3924104 4905130 5443112 6803890 7848208 9810260 10886224 13607780 15696416 19620520 21092059 21772448 27215560 39241040 42184118 54431120 78482080 84368236 105460295 108862240 168736472 210920590 337472944 421841180 674945888 843682360 1687364720 3374729440