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340003980 = 22345415119
BaseRepresentation
bin10100010001000…
…000110010001100
3212200202222210000
4110101000302030
51144020111410
653423244300
711265662151
oct2421006214
9780688700
10340003980
11164a18028
1295a49690
13555963b4
1433228228
151ecb1dc0
hex14440c8c

340003980 has 120 divisors (see below), whose sum is σ = 1092833280. Its totient is φ = 88439040.

The previous prime is 340003973. The next prime is 340003987. The reversal of 340003980 is 89300043.

It is an interprime number because it is at equal distance from previous prime (340003973) and next prime (340003987).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340003987) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63861 + ... + 68979.

It is an arithmetic number, because the mean of its divisors is an integer number (9106944).

Almost surely, 2340003980 is an apocalyptic number.

340003980 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 340003980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546416640).

340003980 is an abundant number, since it is smaller than the sum of its proper divisors (752829300).

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

340003980 is a wasteful number, since it uses less digits than its factorization.

340003980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 340003980 is about 18439.1968371727. The cubic root of 340003980 is about 697.9559280663.

The spelling of 340003980 in words is "three hundred forty million, three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3321 3690 4428 5119 5535 6642 7380 10238 11070 13284 15357 16605 20476 22140 25595 30714 33210 46071 51190 61428 66420 76785 92142 102380 138213 153570 184284 209879 230355 276426 307140 414639 419758 460710 552852 629637 691065 829278 839516 921420 1049395 1259274 1382130 1658556 1888911 2073195 2098790 2518548 2764260 3148185 3777822 4146390 4197580 5666733 6296370 7555644 8292780 9444555 11333466 12592740 17000199 18889110 22666932 28333665 34000398 37778220 56667330 68000796 85000995 113334660 170001990 340003980