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3374429040 = 2432510743801
BaseRepresentation
bin1100100100100001…
…1011001101110000
322201011120202102100
43021020123031300
523402323212130
61314501420400
7146423113353
oct31110331560
98634522370
103374429040
111481860534
127a210a700
1341a141a98
1424023229a
1514b3a5c60
hexc921b370

3374429040 has 120 divisors (see below), whose sum is σ = 11438629488. Its totient is φ = 891417600.

The previous prime is 3374429039. The next prime is 3374429063. The reversal of 3374429040 is 409244733.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33744290402 = 22773542691990643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3374428986 and 3374429004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55140 + ... + 98940.

Almost surely, 23374429040 is an apocalyptic number.

3374429040 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 3374429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719314744).

3374429040 is an abundant number, since it is smaller than the sum of its proper divisors (8064200448).

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

3374429040 is a wasteful number, since it uses less digits than its factorization.

3374429040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43927 (or 43918 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3374429040 is about 58089.8359439928. The cubic root of 3374429040 is about 1499.9154085629.

The spelling of 3374429040 in words is "three billion, three hundred seventy-four million, four hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 107 120 144 180 214 240 321 360 428 535 642 720 856 963 1070 1284 1605 1712 1926 2140 2568 3210 3852 4280 4815 5136 6420 7704 8560 9630 12840 15408 19260 25680 38520 43801 77040 87602 131403 175204 219005 262806 350408 394209 438010 525612 657015 700816 788418 876020 1051224 1314030 1576836 1752040 1971045 2102448 2628060 3153672 3504080 3942090 4686707 5256120 6307344 7884180 9373414 10512240 14060121 15768360 18746828 23433535 28120242 31536720 37493656 42180363 46867070 56240484 70300605 74987312 84360726 93734140 112480968 140601210 168721452 187468280 210901815 224961936 281202420 337442904 374936560 421803630 562404840 674885808 843607260 1124809680 1687214520 3374429040