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674105940 = 2232519533719
BaseRepresentation
bin101000001011100…
…000101001010100
31201222110010111200
4220023200221110
52340032342230
6150520232500
722463543304
oct5013405124
91658403450
10674105940
11316573852
1216990b730
13a9874271
1465757604
153e2aa160
hex282e0a54

674105940 has 144 divisors (see below), whose sum is σ = 2193609600. Its totient is φ = 167042304.

The previous prime is 674105917. The next prime is 674105983. The reversal of 674105940 is 49501476.

674105940 is a `hidden beast` number, since 67 + 4 + 1 + 0 + 594 + 0 = 666.

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 = 674105895 and 674105904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179401 + ... + 183119.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2674105940 is an apocalyptic number.

674105940 is a gapful number since it is divisible by the number (60) 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 674105940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

674105940 is an abundant number, since it is smaller than the sum of its proper divisors (1519503660).

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

674105940 is a wasteful number, since it uses less digits than its factorization.

674105940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 674105940 is about 25963.5502194904. The cubic root of 674105940 is about 876.8178544463.

The spelling of 674105940 in words is "six hundred seventy-four million, one hundred five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 380 477 530 570 636 684 795 855 954 1007 1060 1140 1590 1710 1908 2014 2385 3021 3180 3420 3719 4028 4770 5035 6042 7438 9063 9540 10070 11157 12084 14876 15105 18126 18595 20140 22314 30210 33471 36252 37190 44628 45315 55785 60420 66942 70661 74380 90630 111570 133884 141322 167355 181260 197107 211983 223140 282644 334710 353305 394214 423966 591321 635949 669420 706610 788428 847932 985535 1059915 1182642 1271898 1413220 1773963 1971070 2119830 2365284 2543796 2956605 3179745 3547926 3745033 3942140 4239660 5913210 6359490 7095852 7490066 8869815 11235099 11826420 12718980 14980132 17739630 18725165 22470198 33705297 35479260 37450330 44940396 56175495 67410594 74900660 112350990 134821188 168526485 224701980 337052970 674105940