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1341078672 = 2431971139149
BaseRepresentation
bin100111111101111…
…0011110010010000
310110110110212002110
41033323303302100
510221304004142
6341023545320
745142660233
oct11773636220
93413425073
101341078672
1162900528a
1231515b240
13184abb79b
14ca17541a
157cb0699c
hex4fef3c90

1341078672 has 160 divisors (see below), whose sum is σ = 3749760000. Its totient is φ = 411747840.

The previous prime is 1341078671. The next prime is 1341078679. The reversal of 1341078672 is 2768701431.

It is a self number, because there is not a number n which added to its sum of digits gives 1341078672.

It is not an unprimeable number, because it can be changed into a prime (1341078671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9000454 + ... + 9000602.

It is an arithmetic number, because the mean of its divisors is an integer number (23436000).

Almost surely, 21341078672 is an apocalyptic number.

1341078672 is a gapful number since it is divisible by the number (12) 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 1341078672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880000).

1341078672 is an abundant number, since it is smaller than the sum of its proper divisors (2408681328).

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

1341078672 is a wasteful number, since it uses less digits than its factorization.

1341078672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1341078672 is about 36620.7410083412. The cubic root of 1341078672 is about 1102.7695148912.

The spelling of 1341078672 in words is "one billion, three hundred forty-one million, seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 71 76 114 139 142 149 152 213 228 278 284 298 304 417 426 447 456 556 568 596 834 852 894 912 1112 1136 1192 1349 1668 1704 1788 2224 2384 2641 2698 2831 3336 3408 3576 4047 5282 5396 5662 6672 7152 7923 8094 8493 9869 10564 10579 10792 11324 15846 16188 16986 19738 20711 21128 21158 21584 22648 29607 31692 31737 32376 33972 39476 41422 42256 42316 45296 59214 62133 63384 63474 64752 67944 78952 82844 84632 118428 124266 126768 126948 135888 157904 165688 169264 187511 201001 236856 248532 253896 331376 375022 393509 402002 473712 497064 507792 562533 603003 750044 787018 804004 994128 1125066 1180527 1206006 1470481 1500088 1574036 1608008 2250132 2361054 2412012 2940962 3000176 3148072 3216016 4411443 4500264 4722108 4824024 5881924 6296144 8822886 9000528 9444216 9648048 11763848 17645772 18888432 23527696 27939139 35291544 55878278 70583088 83817417 111756556 167634834 223513112 335269668 447026224 670539336 1341078672